Question

Expand the logarithm.

log (y/5)2

Answer 1

Answer: 2 log y - log 25

Explanation:

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

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