document.write( "Question 1072157: How do you solve this equation:\r
\n" ); document.write( "\n" ); document.write( "5 to pwer x x 3 power y = 675\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #687035 by math_helper(2461)\"\" \"About 
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How do you solve this equation:\r
\n" ); document.write( "\n" ); document.write( "5 to pwer x x 3 power y = 675
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\n" ); document.write( "I assume the equation to be solved is \"+%285%5Ex%29%283%5Ey%29+=+675+\" and you want to solve for y.\r
\n" ); document.write( "\n" ); document.write( "\"+log%28%285%5Ex%2A3%5Ey%29%29+=+log%28%28675%29%29+\"
\n" ); document.write( "Use log(A*B) = log(A)+log(B) on left side, and take log of right (I'm using ln() for log()):
\n" ); document.write( "\"++log%28%285%5Ex%29%29%2Blog%28%283%5Ey%29%29+=+6.5147127++\"
\n" ); document.write( "Use this fact \"log%28%28z%5Ek%29%29+=+k%2Alog%28%28z%29%29+\" to rewrite left side:
\n" ); document.write( "\"++++x%2Alog%285%29+%2B+y%2Alog%283%29+=+6.5147127+\"
\n" ); document.write( "Solve for y:
\n" ); document.write( "\"++++y+=+%286.5147127+-+x%2Alog%28%285%29%29%29+%2F+log%28%283%29%29+\"
\n" ); document.write( "\"+++y+=+highlight%28+5.9299470+-+1.46497352%2Ax+%29\"
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