document.write( "Question 452872: log3 (x2 − 4) − log3(x + 2) = 2\r
\n" );
document.write( "\n" );
document.write( "how would i solve this logarithm equation? \n" );
document.write( "
Algebra.Com's Answer #311247 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! log3 (x2 − 4) − log3(x + 2) = 2 \n" ); document.write( "how would i solve this logarithm equation? \n" ); document.write( "I will assume you meant x^2 instead of x2 \n" ); document.write( ".. \n" ); document.write( "log3 (x^2− 4) − log3(x + 2) = 2 \n" ); document.write( "convert to single log with division rule \n" ); document.write( "=log3(x^2-4)/(x+2)=2 \n" ); document.write( "convert to exponential form:(base(3) raised to log of number (2)=number ((x^2-4)/(x+2)) \n" ); document.write( "3^2=(x^2-4)/(x+2)=9 \n" ); document.write( "(x+2)(x-2)/(x+2)=9 \n" ); document.write( "cancel out (x+2) \n" ); document.write( "x-2=9 \n" ); document.write( "x=11 \n" ); document.write( " |