# How do you solve #log_5(x+1) - log_4(x-2) = 1 #?

##### 1 Answer

I would go for

#### Explanation:

We can try changing base to the second log and write it as:

so the equation becomes:

to simplify our evaluation let us write

rearranging:

using a first property of logs:

a second ne:

and the defintion of log:

remembering that

and:

but...the problem is

to keep on going I will try to approximate and write that

we get:

rearranging:

where

Let us test our result into the original equation:

I tried various values for the Error

we get that:

giving in the test of our equation with