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 #112458 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
\"3%2Alogb%28x%29+-+4%2Alogb%28y%29+%2B+1%2F2%2Alogb%28z%29\"
\n" ); document.write( "See this page for the 'rules' about logs --> http://www.mathwords.com/l/logarithm_rules.htm\r
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\n" ); document.write( "\n" ); document.write( "We will use rule 4 first
\n" ); document.write( "\"3%2Alogb%28x%29+-+4%2Alogb%28y%29+%2B+1%2F2%2Alogb%28z%29\"
\n" ); document.write( "\"logb%28x%5E3%29+-+logb%28y%5E4%29+%2B+logb%28z%5E%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Now use rule 3
\n" ); document.write( "\"logb%28x%5E3%29+-+logb%28y%5E4%29+%2B+logb%28z%5E%281%2F2%29%29\"
\n" ); document.write( "\"logb%28x%5E3%2Fy%5E4%29+%2B+logb%28z%5E%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Now use rule 2
\n" ); document.write( "\"logb%28x%5E3%2Fy%5E4%29+%2B+logb%28z%5E%281%2F2%29%29\"
\n" ); document.write( "\"logb%28%28x%5E3+%2A+z%5E%281%2F2%29%29+%2Fy%5E4%29+\"
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