document.write( "Question 451136: Solve: 25^log5^x=5 \n" ); document.write( "
Algebra.Com's Answer #311739 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Solve: 25^log5^x=5 \n" ); document.write( ".. \n" ); document.write( "25^log5^x=5 \n" ); document.write( "25=5^2 \n" ); document.write( "5^2^log5^x=5 \n" ); document.write( "5^2log5^x=5^1 \n" ); document.write( "2log5^x=1 \n" ); document.write( "log5^x=1/2 \n" ); document.write( "convert to exponential form, (base(10) raised to log of number(1/2)=number(5^x) \n" ); document.write( "10^(1/2)=5^x \n" ); document.write( "3.1623=5^x \n" ); document.write( "(take logs of both sides) \n" ); document.write( "xlog5=log(3.1623) \n" ); document.write( "x=log(3.1623)/log5 \n" ); document.write( "x=.7153 \n" ); document.write( ".. \n" ); document.write( "Check: \n" ); document.write( "25^log5^x \n" ); document.write( "25^log5^.7153=4.999... \n" ); document.write( " |