document.write( "Question 640307: Solve for x.
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document.write( "6^(-7x)=17^(-x-3)
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document.write( "Write the exact answer using base-10 logarithms \n" );
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Algebra.Com's Answer #403130 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve for x. \n" ); document.write( "6^(-7x)=17^(-x-3) \n" ); document.write( "Write the exact answer using base-10 logarithms \n" ); document.write( "** \n" ); document.write( "6^(-7x)=17^(-x-3) \n" ); document.write( "6^(-7x)=17^-(x+3) \n" ); document.write( "1/6^7x=1/17^(x+3) \n" ); document.write( "6^7x=17^(x+3) \n" ); document.write( "take log of both sides \n" ); document.write( "7xlog6=(x+3)log17 \n" ); document.write( "7xlog6=xlog17+3log17 \n" ); document.write( "7xlog6-xlog17=3log17 \n" ); document.write( "x(7log6-log17)=3log17 \n" ); document.write( "x=(3log17)/(7log6-log17) \n" ); document.write( " |