document.write( "Question 840033: how do you solve 10 to the 3x-8=2 to the 5-x \n" ); document.write( "

Algebra.Com's Answer #506291 by LinnW(1048) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"10%5E%283x-8%29=2%5E%285-x%29\"$
\n" ); document.write( "take log of each side
\n" ); document.write( " $\"log%28%2810%5E%283x-8%29%29%29=log%28%282%5E%285-x%29%29%29\"$
\n" ); document.write( " $\"%283x-8%29%2Alog%28%2810%29%29=%285-x%29%2Alog%28%282%29%29%29\"$
\n" ); document.write( " $\"%283x-8%29%2A%28log%282%29%2Blog%285%29%29%29=%285-x%29%2Alog%28%282%29%29%29\"$
\n" ); document.write( " $\"%283x-8%29%2Alog%282%29+%2B+%283x-8%29%2Alog%285%29=%285-x%29%2Alog%282%29\"$
\n" ); document.write( " $\"%283x-8%29%2Alog%285%29=%285-x%29%2Alog%282%29-%283x-8%29%2Alog%282%29\"$
\n" ); document.write( " $\"%283x-8%29%2Alog%285%29=%2813-4x%29%2Alog%282%29\"$
\n" ); document.write( " $\"3%2Alog%285%29%2Ax-8%2Alog%285%29=13%2Alog%282%29-4%2Alog%282%29%2Ax\"$
\n" ); document.write( " $\"3%2Alog%285%29%2Ax%2B4%2Alog%282%29%2Ax=13%2Alog%282%29%2B8%2Alog%285%29\"$
\n" ); document.write( " $\"%283%2Alog%285%29%2B4%2Alog%282%29%29%2Ax=13%2Alog%282%29%2B8%2Alog%285%29\"$
\n" ); document.write( " $\"x=%2813%2Alog%282%29%2B8%2Alog%285%29%29%2F%283%2Alog%285%29%2B4%2Alog%282%29%29\"$
\n" ); document.write( "check out http://www.wolframalpha.com/input/?i=10^%283x-8%29%3D2^%285-x%29 \n" ); document.write( "

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