document.write( "Question 127679: Solve for x:
\n" ); document.write( "a) (log base2 x)^2-(logbase2 x^2)=0
\n" ); document.write( "b) log base2(logbasex 64)=1
\n" ); document.write( "c) log base5(5x+2)=1/2 logbase5 49+logbase5 16 \n" ); document.write( "
Algebra.Com's Answer #93548 by stanbon(75887)\"\" \"About 
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Solve for x:
\n" ); document.write( "a) (log base2 x)^2-(logbase2 x^2)=0
\n" ); document.write( "(log base2 x)^2 - 2(logbase2 x) = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(log base2 x)(log base2 x -2) = 0
\n" ); document.write( "One of those factors must be zero:
\n" ); document.write( "If log base2 x = 0, then 2^0=x and x = 1
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\n" ); document.write( "If log base2 x-2 = 0, then log base2 x = 2 and x = 2^2 = 4
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\n" ); document.write( "\n" ); document.write( "b) log base2(log basex 64)=1
\n" ); document.write( "log basex 64 = 2^1
\n" ); document.write( "x^2 = 64
\n" ); document.write( "x = 8
\n" ); document.write( "------------------
\n" ); document.write( "c) log base5(5x+2)=1/2 logbase5 49+logbase5 16
\n" ); document.write( "log base5(5x+2) = logbase5 7 + logbase5 16
\n" ); document.write( "log base5(5x+2) = logbase5 (7*16)
\n" ); document.write( "5x+2 = 112
\n" ); document.write( "5x = 110
\n" ); document.write( "x = 22
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.\r
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