document.write( "Question 267340: $\"log%282%2C%2848x%5E3%29%29-log%282%2C%2812x%5E2%29%29=8\"$
\n" ); document.write( "solve equation for x and round to nearest two decimal places. \n" ); document.write( "

Algebra.Com's Answer #196246 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
we start with
\n" ); document.write( " $\"log%282%2C%2848x%5E3%29%29-log%282%2C%2812x%5E2%29%29=8\"$
\n" ); document.write( "step 1 - subtraction of logs means divide the terms as
\n" ); document.write( " $\"log%282%2C%2848x%5E3%29%2F%2812x%5E2%29%29=8\"$
\n" ); document.write( "step 2 reduce the fraction to get
\n" ); document.write( " $\"log%282%2C%284x%29%29=8\"$
\n" ); document.write( "step 3 - rewrite using exponents as
\n" ); document.write( " $\"2%5E8+=+4x\"$
\n" ); document.write( "step 4 - divide to get
\n" ); document.write( " $\"x+=+64\"$ \n" ); document.write( "

\n" );