SOLUTION: how do you solve 10 to the 3x-8=2 to the 5-x

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Question 840033: how do you solve 10 to the 3x-8=2 to the 5-x
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
10%5E%283x-8%29=2%5E%285-x%29
take log of each side
log%28%2810%5E%283x-8%29%29%29=log%28%282%5E%285-x%29%29%29
%283x-8%29%2Alog%28%2810%29%29=%285-x%29%2Alog%28%282%29%29%29
%283x-8%29%2A%28log%282%29%2Blog%285%29%29%29=%285-x%29%2Alog%28%282%29%29%29
%283x-8%29%2Alog%282%29+%2B+%283x-8%29%2Alog%285%29=%285-x%29%2Alog%282%29
%283x-8%29%2Alog%285%29=%285-x%29%2Alog%282%29-%283x-8%29%2Alog%282%29
%283x-8%29%2Alog%285%29=%2813-4x%29%2Alog%282%29
3%2Alog%285%29%2Ax-8%2Alog%285%29=13%2Alog%282%29-4%2Alog%282%29%2Ax
3%2Alog%285%29%2Ax%2B4%2Alog%282%29%2Ax=13%2Alog%282%29%2B8%2Alog%285%29
%283%2Alog%285%29%2B4%2Alog%282%29%29%2Ax=13%2Alog%282%29%2B8%2Alog%285%29
x=%2813%2Alog%282%29%2B8%2Alog%285%29%29%2F%283%2Alog%285%29%2B4%2Alog%282%29%29
check out http://www.wolframalpha.com/input/?i=10^%283x-8%29%3D2^%285-x%29