Question #c1210

1 Answer
Nov 25, 2017

see explanation

Explanation:

Let's start with the RHS.

Addition of two logs means that you multiply them:

log(x+1)log(x-5) = log((x-7)(x-3))

Next cancel out the logs:

(x+1)(x-5) = (x-7)(x-3)

Simplify equation to calculate solution:

(x^2-4x-5)-(x^2-10x+21)=0

cancel(x^2) -4x-5 - cancel(x^2) +10x-21=0

6x - 26=0

6x = 26

x = 26/6 or 4.333 sf