Simplify 7 log3 k + 6 log3 m − 9 log3 n

1 answer:

5 0

The answer is log3 k to the seventh power m to the sixth power over n to the ninth power

a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)

7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)

logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)

logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶ / n⁹)

You might be interested in

You have to read 10 1/2 pages for homework. So far you have read 1/3 of the assignment. How many pages did you read

sladkih [1.3K]

Well, you have to read 10 1/2 pages and you have read 1/3 so ask your self...Self what is 1/3 of 10 1/2 pages. The key word of tells you to multiply the two numbers to find the answer. So $10\frac{1}{2} \times \frac{1}{3} = \frac{7}{2} = 3.5 pages$

6 0

3 years ago

PLZ HELP ASAP.....Your dad is researching landscaping companies to come put new mulch out for the year. The first company charge

Blizzard [7]

Answer: After 5 bags of mulch, the cost for both companies will be the same.

Step-by-step explanation:

The cost for Company can be represented by the equation: y= 10m+100

The cost for Company B can be represented by the equation: y= 30m

To find the amount of mulch, their cost needs to be the same, I will solve for m

10m+100=30m

-10m 10m

100=20m

Divide both side by 20

100/20=20m/20

5=m or m=5

So after 5 bags of mulch, the total cost for both companies is the same.

6 0

3 years ago

A pencil holder contains only six blue pencils and three red pencils. If two pencils are drawn at random, what is the probabilit

erastova [34]

6 blue pencils and 3 red pencils means 9 total pencils. So the probability of pulling out ONE blue pencil would be 6/9 or about 67 percent. TWO blue pencils would be HALF of that. So 6/9 * 1/2 which is 6/18 or 1/3 or about 33 percent.

6 0

3 years ago

The graph models a rock being thrown. What is the interval of decrease?

Snowcat [4.5K]

B I think. Not 100% sure tho

8 0

3 years ago

Work out the height of a parallelogram with a base of 10m and an area of 60m2

noname [10]

Area formula of a parallelogram is
A = base x height

Given are the
Area = 60 m² and base = 10 m

Substitute the given:

60 = 10h (divide by 10 to find value of h)
$\frac{60}{10} = \frac{10h}{10}$ (10 and 10 cancels out)

h = 6
The height of a parallelogram with a base of 10m and an area of 60m² is 6m

3 0

3 years ago