Question

What is the answer to this equation log10^x =3

Answer 1

`x=3`

Explanation:

The exponent of a factor inside a logarithm can be expanded to the front of the expression using the third law of logarithms. The third law of logarithms states that the logarithm of a power of
`x` is equal to the exponent of that power times the logarithm of
`x`

`(log_b(x^n)=n*log_b(x))`

Now let's implement this with the values we know.

`x*log(10)=3`

The logarithm base 10 of 10 is 1.

`x*1=3`

`x=3`