SOLUTION: Solve the equation for x 2^(x+4)=8

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Question 78562: Solve the equation for x
2^(x+4)=8
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28x%2B4%29=8
Take the log of both sides of the equation. You can see
that using log(base2) will be advantageous here:
log(base2)(2^(x+4))=log(base2)(8)
Use one of the algebraic property of logarithms to simplify left side:
(x+4)log(base2)(2)=log(base2)(8)
Taking the log(base2) of both of 2 and 8 allows further simplification:
(x+4)=3
Solve for x:
x=-1