document.write( "Question 504744: How would you solve the equation log2(x)^2=(log2(x))^2 I am stuck on how to square a log \n" ); document.write( "
Algebra.Com's Answer #339700 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How would you solve the equation \n" ); document.write( "log2(x)^2 = (log2(x))^2 \n" ); document.write( "-------------- \n" ); document.write( "2log2(x) = [log2(x)]^2 \n" ); document.write( "---- \n" ); document.write( "Rearrange: \n" ); document.write( "[log2(x)]^2 - 2*log2(x) = 0 \n" ); document.write( "---- \n" ); document.write( "Factor: \n" ); document.write( "log2(x)[log2(x)-2] = 0 \n" ); document.write( "---- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "log2(x) = 0 or log2(x)-2 = 0 \n" ); document.write( "--- \n" ); document.write( "x = 2^0 or log2(x) = 2 \n" ); document.write( "--- \n" ); document.write( "x = 1 or x = 2^2 = 4 \n" ); document.write( "--- \n" ); document.write( "x = 1 or x = 4 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=====================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |