Question

Expand the logarithm. Simplify, if possible.
log7(49^w)

Answer 1

Explanation:

Let x = log7(49^w).

We have 7^x = 49^w.

=> 7^x = (7^2)^w

=> 7^x = 7^2w.

=> x = 2w.

Therefore log7(49^w) = 2w.