Question

Expand each expression

Answer 1

Answer:

5log(a) +2log(b)

Step-by-step explanation:

you were close, but you dont multiply the exponents together since a and b are two different variables

Answer 2

Answer:

$5\log(a)+2\log(b)$

Step-by-step explanation:

The logarithm of a product is the sum of the logarithms:

$\log(a^5b^2) = \log(a^5)+\log(b^2)$

By the same rule, we have $\log(a^n)=n\log(a)$:

$\log(a^5)+\log(b^2) = 5\log(a)+2\log(b)$