Question

How do you write the logarithmic expression as the sum, difference, or multiple of logarithms and simplify as much as possible for `ln(4x^3)`?

Answer 1

`ln(4x^3) = ln4 + 3lnx`

Explanation:

Property: `ln(xy) = lnx +lny`

So

`ln(4x^3) = ln4 + ln(x^3)`

Property: `ln(x^d) =dlnx`

So

`ln(4x^3) = ln4 +3lnx`