document.write( "Question 545712: HI I'm trying to solve this equation and am facing immense difficulty, log base5(sqrt 125)=x. Thank you for your help it is very much appreciated.
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Algebra.Com's Answer #355818 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
log base5(sqrt 125)= x
\n" ); document.write( "write the exponent equiv of logs
\n" ); document.write( " $\"5%5Ex+=+sqrt%28125%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"5%5E%282x%29+=+125\"$
\n" ); document.write( "using common logs
\n" ); document.write( " $\"log%28%285%5E%282x%29%29%29+=+log%28%28125%29%29\"$
\n" ); document.write( "which is
\n" ); document.write( "2x * log(5) = log(125)
\n" ); document.write( "2x = $\"log%28125%29%2Flog%285%29\"$
\n" ); document.write( "use a calc
\n" ); document.write( "2x = 3
\n" ); document.write( "x = 1.5
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\n" ); document.write( "check this on a calc
\n" ); document.write( "enter 5^1.5 = 11.18
\n" ); document.write( "enter $\"sqrt%28125%29\"$ = 11.18\r
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