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)\"\" \"About 
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( "
\n" );