SOLUTION: can you please help me solve the exponential equation I know that the answer is x= -1/2 but i just don't know how you get it can you please help I have homework filled with many

Algebra ->  Radicals -> SOLUTION: can you please help me solve the exponential equation I know that the answer is x= -1/2 but i just don't know how you get it can you please help I have homework filled with many      Log On


   



Question 1105775: can you please help me solve the exponential equation
I know that the answer is x= -1/2 but i just don't know how you get it can you please help I have homework filled with many exponential equation problems but i don't get how it works my teacher taught it to us without the logarithmic equation way.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4^(x+2)=8
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(x+2)*log(4) = log(8)
x+2 = log(8)/log(4)
x+=+log%288%29%2Flog%284%29+-+2
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I would do it like this:
4^(x+2)=8
2^(2x+4) = 2^3
2x+4 = 3
x = -1/2