Question

How do you write the logarithmic expression as the sum, difference, or multiple of logarithms and simplify as much as possible for `log(9x^3)`?

Answer 1

`log(9x^3) = 2log3 + 3logx`

Explanation:

Property: `log(xy) = logx +logy`

So

`log(9x^3) = log9 + log(x^3) = log(3^2) + log(x^3)`

Property: `log(x^d) =dlogx`

So

`log(9x^3) = 2log3 + 3logx`