document.write( "Question 1072583: Solve for a: 2log5(3a+1)=log5(4)+2log5(2a-1) \n" ); document.write( "
Algebra.Com's Answer #687443 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve for a: 2log5(3a+1)=log5(4)+2log5(2a-1) \n" ); document.write( "------------------- \n" ); document.write( "log5(3a+1)^2 - log5(2a-1)^2 = log(4)/log(5) \n" ); document.write( "------ \n" ); document.write( "log5[(3a+1)^2/(2a-1)^2] = 0.8614 \n" ); document.write( "------ \n" ); document.write( "2log5[(3a+1)/(2a-1)] = 0.8614 \n" ); document.write( "----- \n" ); document.write( "log5[(3a+1)/(2a-1)] = 0.4307 \n" ); document.write( "---- \n" ); document.write( "3a+1 = 5^0.4307*(2a-1) \n" ); document.write( "3a+1 = 2(2a-1) \n" ); document.write( "3a+1 = 4a-2 \n" ); document.write( "a = 3 \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |