document.write( "Question 144486: log2(x - 2) + 5 = 8 - log2 4 \n" ); document.write( "
Algebra.Com's Answer #105227 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%282%2C%28x+-+2%29%29+%2B+5+=+8+-+log%282%2C%28+4%29%29\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x+-+2%29%29+%2B+5+=+8+-+2\" Evaluate \"log%282%2C%28+4%29%29\" to get 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x+-+2%29%29++=+8+-+2-5\" Subtract 5 from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x+-+2%29%29++=+1\" Combine like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+-+2++=+2%5E1\" Rewrite the logarithmic equation into an exponential equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+-+2++=+2\" Raise 2 to the first power to get 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x++=+4\" Solve for x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answer is \"x++=+4\"
\n" ); document.write( "
\n" );