SOLUTION: Please help. log base3(x-2)+log base3(x+4)=3 e^x+5=8

Question 64477: Please help.
log base3(x-2)+log base3(x+4)=3
e^x+5=8

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Applying the product rule for logarithms: we get:
Simplifying:
Writing this in exponential form: means
Simplify:
Solving by the quadratic formula:
Simplifying:
Simplifying further:

and
-------------------------------------------------
Solve for x:
Subtract 5 from both sides.
Take the natural log of both sides.
But , so:

Approx.
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