document.write( "Question 867515: HI I have a question about this equation 4^(6+x)=(1/2)^(7-x).I know the answer to this equation is -19, but I do not know how to get that. Please help me with the steps \n" ); document.write( "

Algebra.Com's Answer #523059 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
4^(6+x)=(1/2)^(7-x)
\n" ); document.write( "Whenever you see variables in exponents, it usually is a good idea to solve problem with logarithms.
\n" ); document.write( "(6+x) log4=(7-x)log(1/2)
\n" ); document.write( "(6+x)/(7-x)=log(1/2)/log4
\n" ); document.write( "(6+x)/(7-x)=-0.5
\n" ); document.write( "6+x=-.5(7-x)
\n" ); document.write( "6+x=-3.5+.5x
\n" ); document.write( ".5x=-9.5
\n" ); document.write( "x=-19
\n" ); document.write( " \n" ); document.write( "

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