document.write( "Question 183941: please solve for x\r
\n" ); document.write( "\n" ); document.write( "log cube root of x= square root of log x \n" ); document.write( "
Algebra.Com's Answer #138235 by ankor@dixie-net.com(22740)\"\" \"About 
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please solve for x
\n" ); document.write( "log cube root of x = square root of log x
\n" ); document.write( ":
\n" ); document.write( "You can write it using exponent for cube root
\n" ); document.write( "\"log%28x%5E%281%2F3%29%29+=+sqrt%28log%28x%29%29\"
\n" ); document.write( "log equiv of exponent
\n" ); document.write( "\"%281%2F3%29log%28x%29+=+sqrt%28log%28x%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Let r = log(x) and rewrite the above equation using r
\n" ); document.write( "\"%281%2F3%29r+=+sqrt%28r%29\"
\n" ); document.write( "Multiply both sides by 3
\n" ); document.write( "\"r+=+3%2Asqrt%28r%29\"
\n" ); document.write( "square both sides
\n" ); document.write( "r^2 = 9r
\n" ); document.write( "divide both sides by r
\n" ); document.write( "r = 9
\n" ); document.write( ":
\n" ); document.write( "replacing r with log(x):
\n" ); document.write( "log(x) = 9
\n" ); document.write( "find the \"10%5Ex\" of 9
\n" ); document.write( "x = 1,000,000,000
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check for equality on a calc:
\n" ); document.write( "enter: log(1000000000^(1/3)) = 3
\n" ); document.write( "and
\n" ); document.write( "enter: \"sqrt%28log%281000000000%29%29\" = 3 also
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