document.write( "Question 736411: Please help me solve for x: 4^5x-1=2^4-x \n" ); document.write( "

Algebra.Com's Answer #449828 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Assuming the problem is
\n" ); document.write( " $\"4%5E%28%285x-1%29%29\"$ = $\"2%5E%28%284-x%29%29\"$
\n" ); document.write( "4 can be written as 2^2, therefore we have
\n" ); document.write( " $\"2%5E%282%285x-1%29%29\"$ = $\"2%5E%28%284-x%29%29\"$
\n" ); document.write( "therefore
\n" ); document.write( "2(5x-1) = 4 - x
\n" ); document.write( "10x - 2 = 4 - x
\n" ); document.write( "10 + x = 4 + 2
\n" ); document.write( "11x = 6
\n" ); document.write( "x = $\"6%2F11\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on a calc; 6/11 ~ .545
\n" ); document.write( ":
\n" ); document.write( "4^(5(.545)-1) ~ 10.93
\n" ); document.write( "2^(4-.545) ~ 10.97
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