SOLUTION: Find x. {{{log3 (x + 1) + log3 (x

SOLUTION: Find x. {{{log3 (x + 1) + log3 (x - 5) = 3}}}

Question 267189: Find x.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Adding logs is the same as multiply

FOIL

The exponent equiv of logs

:
x^2 - 4x - 5 = 27
:
x^2 - 4x - 5 - 27 = 0
:
x^2 - 4x - 32 = 0
Factor
(x-8)(x+4) = 0
positive solution (cannot have a log of a neg number)
x = 8
:
See if this works

Exponent equiv:
27 = 3^3
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