document.write( "Question 936316: How do you solve the equation: 8^(x+1)=3^(x-1) \n" ); document.write( "

Algebra.Com's Answer #569742 by reviewermath(1029) $\"\"$ $\"About$

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$\"8%5E%28x%2B1%29+=+3%5E%28x-1%29\"$
\n" ); document.write( "Get the ln of both sides
\n" ); document.write( "(x+1)*ln(8) = (x-1)*ln(3)
\n" ); document.write( "x*ln(8) + ln(8) = x*ln(3) - ln(3)
\n" ); document.write( "x[ln(8)-ln(3)] = -ln(8) - ln(3)
\n" ); document.write( "x = [ln(8) + ln(3)]/[ln(3) - ln(8)]
\n" ); document.write( "x = ln(24)/ln(0.375) or -3.24017 [to 5 decimal places] \n" ); document.write( "

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