document.write( "Question 285928: If log a=2 and log b=3, what is the numerical value of log $\"+sq+rt+%28a%29+%2F+b+%5E+3\"$ ? \n" ); document.write( "

Algebra.Com's Answer #207354 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If log a=2 and log b=3, what is the numerical value of log $\"%28sqrt%28a%29%2F+b%5E3%29\"$ ?
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\n" ); document.write( "We know that if:
\n" ); document.write( "log a=2; then a=100
\n" ); document.write( "and
\n" ); document.write( "log b=3; then b=1000
\n" ); document.write( ":
\n" ); document.write( "Write it:
\n" ); document.write( "log $\"%28sqrt%28100%29%2F1000%5E3%29\"$ = log $\"10%2F1000%5E3%29\"$ = -8
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