Question

How do you use the properties of logarithms to rewrite(expand) each logarithmic expression `log_b(yz^6))`?

Answer 1

`log_b(y)+6log_b(z)`

Explanation:

From the laws of logarithms:

`color(red)bb(log(ab)=log(a)+log(b))`

`color(red)bb(log(b^a)=alog(b))`

`log_b(yz^6)=log_b(y)+log_b(z^6)=>`

`log_b(y)+6log_b(z)`