# How do you simplify #log (x+6)=1-log(x-5)#?

##### 2 Answers

#### Answer:

I tried this:

#### Explanation:

We can use, as an example, the base of the logs as being

rearrange:

use a property of logs to write:

use the definition of log to write:

that becomes:

and:

the negative solution cannot be accepted.

#### Answer:

#### Explanation:

Move

Condense the Left Side into 1 Log expression

Convert from Log Equation to Exponential Equation

Multiply Left Side

Move

Since we can't factor, use Quadratic Formula:

Quadratic Formula:

And

Since the "inside" of log has to be positive,