document.write( "Question 130682: Solve for x:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2log%287%2C%28x%29%29=2%2Blog%287%2C%2816%29%29\"
\n" ); document.write( "

Algebra.Com's Answer #95427 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2log%287%2C%28x%29%29=2%2Blog%287%2C%2816%29%29\" Start with the given equation. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%287%2C%28x%5E2%29%29=2%2Blog%287%2C%2816%29%29\" Rewrite the left side using the identity \"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%287%2C%28x%5E2%29%29-log%287%2C%2816%29%29=2\" Subtract \"log%287%2C%2816%29%29\" from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%287%2C%28x%5E2%2F16%29%29=2\" Combine the logs using the identity \"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7%5E2=x%5E2%2F16\" Rewrite the equation using the property: \"log%28b%2C%28x%29%29=y\" ====> \"b%5Ey=x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"49=x%5E2%2F16\" Evaluate \"7%5E2\" to get 49\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"784=x%5E2\" Multiply both sides by 16\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%28784%29=x\" Take the square root of both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"28=x\" Take the square root of 784 to get 28\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solution is \"x=28\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );