document.write( "Question 461926: Hello,\r
\n" ); document.write( "\n" ); document.write( "I have a problem that asks the following:\r
\n" ); document.write( "\n" ); document.write( "find \"+log%28a%2C+%28x%5E2%29+%28z%5E3%29%2F+%28sqrt+%28y%29%29%29+\"
\n" ); document.write( "where \"+log%28a%2Cx%29\"=2, \"log%28a%2C+y%29\"=6, and \"log%28a%2Cz%29\"=-2\r
\n" ); document.write( "\n" ); document.write( "I know the answer is -5; how to get there is beyond me. A little help would be amazing!\r
\n" ); document.write( "\n" ); document.write( "Thanks,\r
\n" ); document.write( "\n" ); document.write( "Jessica
\n" ); document.write( "

Algebra.Com's Answer #316693 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find loga[(x^2) (z^3)/ (sqrt (y)))
\n" ); document.write( "---
\n" ); document.write( "= loga(x^2) + loga(z^3) - loga(sqrt(y))
\n" ); document.write( "---
\n" ); document.write( "= 2loga(x) + 3loga(z) - (1/2)loga(y)
\n" ); document.write( "---
\n" ); document.write( "
\n" ); document.write( "where loga(x)=2, loga(y)=6, and loga(z)=-2
\n" ); document.write( "----
\n" ); document.write( "substitute to get:
\n" ); document.write( "---
\n" ); document.write( "= 2*2 + 3(-2) - (1/2)6
\n" ); document.write( "---
\n" ); document.write( "= 4 - 6 - 3
\n" ); document.write( "---
\n" ); document.write( "= -5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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