SOLUTION: log2(x - 2) + 5 = 8 - log2 4

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Question 144486: log2(x - 2) + 5 = 8 - log2 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28x+-+2%29%29+%2B+5+=+8+-+log%282%2C%28+4%29%29 Start with the given equation


log%282%2C%28x+-+2%29%29+%2B+5+=+8+-+2 Evaluate log%282%2C%28+4%29%29 to get 2


log%282%2C%28x+-+2%29%29++=+8+-+2-5 Subtract 5 from both sides


log%282%2C%28x+-+2%29%29++=+1 Combine like terms


x+-+2++=+2%5E1 Rewrite the logarithmic equation into an exponential equation


x+-+2++=+2 Raise 2 to the first power to get 2


x++=+4 Solve for x



So our answer is x++=+4