Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Answers

Answer 1

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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Related Questions

To factor f2 + 6f + 9, find the factor of 9 with both positive signs and whose sum is ____

I need help..

Answers

(f+3)(f+3) i believe so use algebra calculator for help with algebra

solve pls brainliest

Answers

Answer:

24 m^2

Step-by-step explanation:

To find the area of the cement, we subtract the area of the grass from the total area of the grass and cement.

Total area: 6 × 5 = 30Grass area: 3 × 2 = 630 - 6 = 24

Therefore, the answer is 24 m^2.

Step-by-step explanation:

area of the whole backyard(6 mltiplied by 5=30)_area of grass(2 multiplied by 3 =6)

30_6=24

the answer is 24 square meters

What angle is congruent to ∠C?

Answers

Step-by-step explanation:

Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

top box) 216

middle box) 54

bottom box) 4

Step-by-step explanation:

surface area is 6s^2

top) side = 6 so

[tex]6(6^{2})[/tex]

6(36)

216

middle) side = 6 so

[tex]6(3^{2})[/tex]

6(9)

54

bottom)

216/ 54

4

how do I become good at fortine ​

Answers

Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams = (How many?)
pounds

700 grams = (How many?)
pounds

Answers

Answer:

Here they are unrounded

800 grams = 1.7637

700 grams = 1.54324

Step-by-step explanation:

Hope this helps

Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?

Answers

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

Solve

2^3n-4>0

...................

Answers

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0 ​

Answers

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

PLZ HELP…..Are the following set of numbers a Pythagorean triple? 101,20,99

Answers

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Can someone help me with 15 and 16 Please!

Answers

With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY

What is an explanation or picture of how to work out the problem 8.13-2.716

Answers

Answer:

5.414

subtract 8.13 from 2.716 and u will get ur answer

What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?

Answers

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.

Answers

Answer:

150 Miles

Step-by-step explanation:

Let's say it takes x time to get there.

X x 30=(8 - 6) x 50 (The distance is the same)

30X=400 - 50X=7 X=5 hours.

So the distance is 5 x 30=150 miles.

What is the measure of angle n°?

Answers

The measure of angle n is 45 degrees.

This polygon is what we call an octagon, having 8 sides.

So, to find the measures of the exterior angles, we can take 360 degrees divided by 8 angles to arrive at 45 degrees for each exterior angle, known as angle n. :)

NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo

Answers

Answer:

D - Two.

Step-by-step explanation:I took the test and this was the correct answer.

find the proabilty of rolling factors of 5 on both sides.

Answers

I believe the answer is 1/5

Solve the following system of equations graphically on the set of axes below.
y=−x−8

3x−2y=6

Answers

Answer:

b

Step-by-step explanation:

b took the test np

I need help with my math homework :(

Answers

We plug in 14 for x when we set the two equations equal to each other to prove they are equal.

So true LM congruent to MN

Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?

Answers

Answer:

Yes

Step-by-step explanation:

Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.

PLEASE HELPPPPPPPPPPPPPPPP!!!

Answers

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

6 years because 5% of 1000 is 50

Beth,nina, Juan,Lucy and Abdul love fruit. all of them exept lucy and Nina love mangos. only the girls like watermelon. all of the apart from abdul and beth like papayas. only abdul, juan and nina like pears. only juan and lucy do not like pineapple. everyone wirh an a in their name likes cherries. who likes the largest variety of fruit ?​

Answers

Answer:

The answer would be Nina

Step-by-step explanation:

beth- likes mangos, watermelon, and pineapple

nina- likes watermelon, papayas, pears, pineapple and cherries

juan- likes mangos, papayas and pears

lucy likes watermelon and papayas

abdul- likes mangos, pears and pineapples

( nina has the most amount of fruit liked between everyone else)

so the answer has to be Nina.

17 rounded to the nearest 10th of a degree

Answers

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

20 because if your rounding to the nearest 10 the range you have is 10-20 because 17 is in between 10 and 20, then you can count or just tell which one 17 is closer to: 17-10=7 so 17 is 7 away from ten, then 20-17=3 so 17 is three away from 20. so now you choose the answer that is closer to the number:)

hope this helps!!

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

Make x the subject of the formula x + t = q

Answers

Answer:

x = t - q

Step-by-step explanation:

because to make q, you need to add x and t

so to make x the subject, you should subtract q

Example

x + t = q

t = 7

q = 36

x = t - q

36 -7 = 29

x = 29

Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)​

Answers

Answer:

2 feet

Step-by-step explanation:

37/10 - 1.7

3.7 - 1.7

2.0

= 2 feet

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS

Answers

You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.

The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.

The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.

If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!

5.
The perimeter of a regular octagon is 88 cm.
a) Write an equation you can solve to find the side length of the octagon.
b) Solve the equation.

Answers

Answer: a) side length = perimeter ÷ 8

b) 11cm

Step-by-step explanation:

side length = the perimeter ÷ 8( there are 8 sides in an octagon)

= 88 ÷ 8

= 11cm

hope u understand

Find the median of the first 13 natural numbers

Answers

Answer

116.4k+ views

Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Complete step-by-step answer:

We have to find the arithmetic mean of first ten odd natural numbers .

Natural numbers are counting numbers and starts from 1.

Odd numbers are not multiples of 2.

The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.

Arithmetic mean is calculated by adding all the observations by the total number of observations.

Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Therefore, we will calculate the sum of the first ten odd natural numbers.

⇒1+3+5+7+9+11+13+15+17+19⇒100

Now, we will divide this by 10 as there are a total 10 numbers.

10010=10

Hence, the arithmetic mean of first ten odd natural numbers is 10.

Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2

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