document.write( "Question 959037: Log2 (x+5)-log2(2x-1)=5 \n" ); document.write( "

Algebra.Com's Answer #586153 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"log%282+%2C%28x%2B5%29%29-log%282%2C%282x-1%29%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282+%2C%28x%2B5%29%2F%282x-1%29%29=5\"$ ....change the base to base $\"10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%2B5%29%2F%282x-1%29%29%2Flog%282%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%2B5%29%2F%282x-1%29%29=5log%282%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%2B5%29%2F%282x-1%29%29=log%282%5E5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%2B5%29%2F%282x-1%29%29=log%2832%29\"$ ........if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B5%29%2F%282x-1%29=32\"$ .........solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B5=32%282x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B5=64x-32\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"32%2B5=64x-x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"37=63x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=37%2F63\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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