document.write( "Question 471596: 4^(-3X+1)*16^(-X)=1^(-10) \n" ); document.write( "
Algebra.Com's Answer #325273 by lwsshak3(11628)\"\" \"About 
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4^(-3X+1)*16^(-X)=1^(-10)
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\n" ); document.write( "4^(-3X+1)*16^(-X)=1^(-10)=1
\n" ); document.write( "take log of both sides
\n" ); document.write( "(-3x+1)log4+(-xlog16)=log1=0
\n" ); document.write( "-3xlog4+log4-xlog16=0
\n" ); document.write( "x(-3log4-log16)=-log4
\n" ); document.write( "x=-log4/-(3log4+log16)
\n" ); document.write( "x=.2
\n" ); document.write( "Check:
\n" ); document.write( "4^(-3X+1)*16^(-X)=1^(-10)=1
\n" ); document.write( "4^(-3*.2+1)*16^(.2)
\n" ); document.write( "4^-.4*1.7411
\n" ); document.write( ".5743*1.7411=1.000 \n" ); document.write( "
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