# How do you solve #log(x + 10) - log(x) = 2log(5)#?

##### 1 Answer

#### Explanation:

Our first step is to rewrite the equation using some laws of logarithms, specifically,

Another law of logarithms,

Now, you didn't specify a base for the

Raise 2 to both sides:

The exponential and the logarithm are inverse functions, so the base-2 and the logarithms will cancel:

From here, we just need to use some simple algebra, multiplying both sides by

and then subtracting

And then simplify to arrive at our final answer