document.write( "Question 702557: Please help me solve this equation: 2^(x+3)= 6^(x-1) \n" ); document.write( "
Algebra.Com's Answer #433044 by nerdybill(7384)\"\" \"About 
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2^(x+3)= 6^(x-1)
\n" ); document.write( "take the log of both sides:
\n" ); document.write( "log(2^(x+3)) = log(6^(x-1))
\n" ); document.write( "(x+3)*log(2) = (x-1)*log(6)
\n" ); document.write( "xlog(2)+3log(2) = xlog(6)-log(6)
\n" ); document.write( "xlog(2) = xlog(6)-log(6)-3log(2)
\n" ); document.write( "xlog(2) - xlog(6) = -log(6)-3log(2)
\n" ); document.write( "multiplying both sides by -1:
\n" ); document.write( "xlog(6) - xlog(2) = log(6)+3log(2)
\n" ); document.write( "x(log(6) - log(2)) = log(6)+3log(2)
\n" ); document.write( "x = (log(6)+3log(2)) / (log(6) - log(2))
\n" ); document.write( "x = (1.681241237) / (0.47712125472)
\n" ); document.write( "x = 3.52372\r
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