document.write( "Question 465693: solve the equation.
\n" ); document.write( "log(base 3)x^2=(log(base3)x)^2 \n" ); document.write( "
Algebra.Com's Answer #319887 by lwsshak3(11628)\"\" \"About 
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solve the equation.
\n" ); document.write( "log(base 3)x^2=(log(base3)x)^2
\n" ); document.write( "..
\n" ); document.write( "log3(x^2)=(log3(x))^2
\n" ); document.write( "2log3(x)=(log3(x))^2
\n" ); document.write( "(log3(x))^2-2log3(x)=0
\n" ); document.write( "log3(x)(log3(x)-2)=0
\n" ); document.write( "log3(x)=0 (reject, log3(x)>0)
\n" ); document.write( "..
\n" ); document.write( "log3(x)-2=0
\n" ); document.write( "log3(x)=2
\n" ); document.write( "x=9
\n" ); document.write( "Check:
\n" ); document.write( "log3(9^2)=log3(81)=4
\n" ); document.write( "(log(base3)x)^2=(log3(9))^2=(2)^2=4
\n" ); document.write( "left side=right side \n" ); document.write( "
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