Question

Expand the logarithm.

log (y/5)2

Answer 1

Answer: 2 log y - log 25

Step-by-step explanation:

Notes: Division expands to subtraction.  Exponent expands to multiplication.

$log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}$