document.write( "Question 923725: 5(2^x)=5^x(10^x). Please solve and check this equation. \n" ); document.write( "

Algebra.Com's Answer #560296 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5%282%5Ex%29=5%5Ex%2A%2810%5Ex%29\"$
\n" ); document.write( " $\"5%282%5Ex%29=5%5Ex%2A%285%2A2%29%5Ex\"$
\n" ); document.write( " $\"5%2A2%5Ex=5%5Ex%2A5%5Ex%2A2%5Ex\"$
\n" ); document.write( " $\"5=5%5Ex%2A5%5Ex\"$
\n" ); document.write( " $\"5%5E1=5%5E%28x%2Bx%29\"$
\n" ); document.write( " $\"5%5E1=5%5E%282x%29\"$
\n" ); document.write( " $\"1=2x\"$
\n" ); document.write( " $\"highlight%28x=1%2F2%29\"$
\n" ); document.write( "
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"2%5E%28%221%2F2%22%29=sqrt%282%29\"$ , $\"5%5E%28%221%2F2%22%29=sqrt%285%29\"$ , and $\"10%5E%28%221%2F2%22%29=sqrt%2810%29\"$
\n" ); document.write( " $\"5%282%5E%221%2F2%22%29=5sqrt%282%29\"$
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