document.write( "Question 612071: Solve: log(base 2) x - 2log(base2) (x-1) = 1 \n" ); document.write( "
Algebra.Com's Answer #385276 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve: log(base 2) x - 2log(base2) (x-1) = 1 \n" ); document.write( "log2(x)-2log2(x-1)=1 \n" ); document.write( "log2[x/(x-1)^2]=1 \n" ); document.write( "convert to exponential form \n" ); document.write( "2^1=[x/(x-1)^2=2 \n" ); document.write( "2(x-1)^2]=x \n" ); document.write( "2(x^2-2x+1)=x \n" ); document.write( "2x^2-4x+2=x \n" ); document.write( "2x^2-5x+2=0 \n" ); document.write( "(2x-1)(x-2)=0 \n" ); document.write( "x=1/2 (reject,(x-1)>0) \n" ); document.write( "or \n" ); document.write( "x=2 \n" ); document.write( " |