document.write( "Question 933453: Log(base 2) (x+14)+log(base 2)x=5 \n" ); document.write( "

Algebra.Com's Answer #566813 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%282%2C%28x%2B14%29%29%2Blog%282%2Cx%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%28%28x%2B14%29%2Ax%29%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%28x%5E2%2B14x%29%29=5\"$ ...in base $\"10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%5E2%2B14x%29%29%2Flog%28%282%29%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%5E2%2B14x%29%29=5log%28%282%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%5E2%2B14x%29%29=log%28%282%5E5%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%5E2%2B14x%29%29=log%28%2832%29%29\"$ ...since log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B14x=32\"$ ...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B14x-32=0\"$ ...write $\"14x\"$ as $\"-2x%2B16x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-2x%2B16x-32=0\"$ ...group\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-2x%29%2B%2816x-32%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x-2%29%2B16%28x-2%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%28x%2B16%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-2%29+=+0\"$ then $\"x=2\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"%28x%2B16%29+=+0\"$ then $\"x=-16\"$ ...we cannot use this solution\r
\n" ); document.write( "\n" ); document.write( "so, your solution is: $\"highlight%28x=2%29\"$ \r
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