document.write( "Question 536128: how do you write 5^x-7=9^-9x as a 10 logrithm finding the value of x. Thanks for your help \n" ); document.write( "
Algebra.Com's Answer #352161 by lwsshak3(11628) ![]() You can put this solution on YOUR website! how do you write 5^x-7=9^-9x as a 10 logrithm finding the value of x. \n" ); document.write( ".. \n" ); document.write( "5^(x-7)=9^-9x \n" ); document.write( "take log of both sides using exponent rule \n" ); document.write( "(x-7) log5=-9xlog9 \n" ); document.write( "(x-7)/9x=-log9/log5 \n" ); document.write( "using calculator \n" ); document.write( "(x-7)/9x=-1.3652 \n" ); document.write( "x-7=9x*-1.362=-12.2869x \n" ); document.write( "x+12.2869x=7 \n" ); document.write( "13.2869x=7 \n" ); document.write( "x=7/13.2869≈.5268 \n" ); document.write( " |