# Question #9b04c

##### 2 Answers

#### Explanation:

I'm assuming that you mean log with base 10. The answer will be different if the base is not 10.

Here are two ways of writing the same expression:

and

We need to solve for the power,

Rewrite this expression in index form:

Rewrite the expression with the same base on both sides:

Because we have the same base, the powers must be equal:

So

See if you can find another way of solving this problem using the following log laws:

#### Explanation:

Usually

A logarithm is a function that returns the power to which you must take the base to get the input.

Or in the case of base 10

and for any base

Since

then

And by the definition of an exponent

Then