How would you write this expression as a sum or difference?

Question

asked Aug 5, 2023 115k views

1 Answer

Dennis Jaamann · Answer 1 · 2023-08-12T08:41:59+0000

Answer:

A.
(1)/(5) log_3(x) + log_3(y)

Explanation:

Log rules tell us that multiplication inside a log can be expressed as two summands with the same base.
In other words:

$\log_c(a*b) =\log_c(a)+\log_c(b)$

In this case:

$log_3(\sqrt[5]{x} * y) = log_3(\sqrt[5]{x}) + log_3(y)$

Using log exponent rules(power can be moved to the front of a log), we get our final answer:

(1)/(5) log_3(x) + log_3(y)