SOLUTION: solve: 8^3x+4=32^1-x

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Question 101035: solve: 8^3x+4=32^1-x
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%283x%2B4%29=32%5E%281-x%29
This should be in LOGARITHMS!!!

Read my lesson---An overview to the laws of logarithms
then, go back to this page

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log%288%5E%283x%2B4%29%29=log%2832%5E%281-x%29%29
3x%2B4%28log%288%29%29=1-x%28log%2832%29%29
In tead of a logarithm witha base of ten, it would be easier if we choose a base of 2 since 2%5E3=8 and 2%5E5=32
3x%2B4%283%29=1-x%285%29
3%283x%2B4%29=5%28-x%2B1%29
9x%2B12=-5x%2B5
9x%2B5x%2B12=-5x%2B5x%2B5
14x%2B12=0%2B5
14x%2B12=5
14x%2B12-12=5-12
14x%2B0=-7
14x=-7
14x%2F14=-7%2F14
x=-1%2F2

Power up,
HyperBrain!