document.write( "Question 152980: Express 3log b x-4 log b y+1/2 log b z as a single logarithm and simplify if possible. I am at a total loss. Please help... Thank you very much in advance! \n" ); document.write( "

Algebra.Com's Answer #112459 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Three rules to use here.
\n" ); document.write( " $\"log%28b%2CX%29%2Blog%28b%2CY%29=log%28b%2CXY%29\"$
\n" ); document.write( " $\"log%28b%2CX%29-log%28b%2CY%29=log%28b%2C%28X%2FY%29%29\"$
\n" ); document.write( " $\"a%2Alog%28b%2CZ%29=log%28b%2CZ%5Ea%29\"$
\n" ); document.write( "I'm not sure of your equation but here's what I think it is,
\n" ); document.write( "1. $\"3%2Alog%28b%2Cx%29-4%2Alog%28b%2Cy%29%2B%281%2F2%29log%28b%2Cz%29\"$
\n" ); document.write( "although it might be,
\n" ); document.write( "2. $\"3%2Alog%28b%2C%28x-4%29%29-log%28b%2Cy%29%2B%281%2F2%29log%28b%2Cz%29\"$
\n" ); document.write( "Let's look at each term separately, then we'll put it all together.
\n" ); document.write( " $\"3%2Alog%28b%2Cx%29=log%28b%2Cx%5E3%29\"$
\n" ); document.write( " $\"4%2Alog%28b%2Cy%29=log%28b%2Cy%5E4%29\"$
\n" ); document.write( " $\"%281%2F2%29log%28b%2Cz%29=log%28b%2Cz%5E%281%2F2%29%29\"$
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\n" ); document.write( "If it's eq. 2, then the solution becomes,
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