Question

Solve and type in a different form by using the given theorems of logarithms.
log N^3

Answer 1

log N^3 = 3 log N

using the theorem log a^2 = 2 log a

Answer 2

Hence, the different form of log N^3 by using the given theorems of logarithms is:

`\log N^3=3\log N`

Explanation:

We have to represent the given logarithmic function in some other form using the property of logarithm.

We are given a logarithmic function as:

`\log N^3`

As we know the property of logarithm that:

`\log m^n=n\log m`

Hence, we can represent our given function as:

`\log N^3=3\log N`

Hence, the different form of log N^3 by using the given theorems of logarithms is:

`\log N^3=3\log N`