document.write( "Question 646070: Solve the following logarithmic equation. log(base5)(x+15)+log(base5)(x+134)=4 \n" ); document.write( "
Algebra.Com's Answer #406932 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following logarithmic equation. \n" ); document.write( "log(base5)(x+15)+log(base5)(x+134)=4 \n" ); document.write( "place under single log \n" ); document.write( "log5[(x+15)(x+134)]=4 \n" ); document.write( "convert to exponential form \n" ); document.write( "5^4=(x+15)(x+134) \n" ); document.write( "625=x^2+149x+2010 \n" ); document.write( "x^2+149x+1385=0 \n" ); document.write( "solve for x by following quadratic formula: \n" ); document.write( " \n" ); document.write( "a=1, b=149, c=1385 \n" ); document.write( "ans: \n" ); document.write( "x≈-139.039 (reject,(x+15)>0) \n" ); document.write( "or \n" ); document.write( "x≈-9.961 \n" ); document.write( " \n" ); document.write( " |