SOLUTION: logbase 2 to the power of x + log base 2 to the the power of (x+4)=5

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Question 247271: logbase 2 to the power of x + log base 2 to the the power of (x+4)=5
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%29x+%2B+log%282%29%28x%2B4%29+=+5
log%282%29%28x%2A%28x%2B4%29%29+=+5
x%2A%28x%2B4%29+=+2%5E5
x%5E2+%2B+4x+=+32
x%5E2+%2B4x+-+32+=+0
%28x%2B8%29%28x-4%29+=+0
x = -8 or x=4
Can't do logs of negatives, so only x=4 works
Check your answer
log%282%294+%2B+log%282%29%288%29+=+5
2+%2B+3+=+5 check!