document.write( "Question 505581: 2ln(x+1/2)=ln(1/4) \n" ); document.write( "
Algebra.Com's Answer #339989 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 2ln(x+1/2)=ln(1/4) \n" ); document.write( "ln(x+1/2)^2-ln(1/4)=0 \n" ); document.write( "place under single ln \n" ); document.write( "ln((x+1/2)^2)/(1/4)=0 \n" ); document.write( "convert to exponential form: base(e) raised to ln of number(0)=number(x+1/2)^2)/(1/4) \n" ); document.write( "e^0=(x+1/2)^2)/(1/4)=1 \n" ); document.write( "(x+1/2)^2)=(1/4) \n" ); document.write( "take sqrt of both sides \n" ); document.write( "x+1/2=±1/2 \n" ); document.write( "x=0 \n" ); document.write( "or \n" ); document.write( "x=-1 (reject, (x+1/2)>0 \n" ); document.write( " |