# How do you solve #log 5 = (x+1) log 4#?

##### 1 Answer

This would be same as solving a multi-step linear equation only the coefficients and constants are logarithmic numbers. Step by step working is shown below.

#### Explanation:

Let us distribute

What we see here is not different from any multi-step linear equation .

Say if you had no log and the equation was

We shall use the same trick to solve it, but with the log present.

First subtract

Now we divide both sides by

The exact solution is

If you want an decimal approximation then you can use a calculator to find it.