Question

Log3(x)=4.5 and log3(y)=3 then what is log3(x^2/y)?

Answer 1

6

Explanation:

So it is easier on me let's pretend each logarithm I write is base 3.

log(x^2/y)

Quotient rule

log(x^2)-log(y)

Power rule

2log(x)-log(y)

Substitute the given

2*4.5-3

9-3

6