document.write( "Question 6721: I am having trouble figuring out this problem. I know i should use the same base in all but do not know where each number should go, please help.\r
\n" ); document.write( "\n" ); document.write( "3( logb m-3logb n) \n" ); document.write( "

Algebra.Com's Answer #3710 by Mike(39) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume that by the way you have written your question, both logs have base 'b'?!\r
\n" ); document.write( "\n" ); document.write( "In that case:
\n" ); document.write( "1) $\"+3%28log%28b%2Cm%29-3log%28b%2Cn%29%29\"$
\n" ); document.write( "2) $\"+3%28log%28b%2Cm%29-log%28b%2Cn%5E3%29%29\"$
\n" ); document.write( "3) 3(log(b)m/(n^3)
\n" ); document.write( "4) log(b)(m/n^3)^3 <---- your answer.\r
\n" ); document.write( "\n" ); document.write( "In answering these types of questions, it is crucial that you know your 3 laws of logs.
\n" ); document.write( "Law 1:
\n" ); document.write( "log(x) + log(y) = log(xy)\r
\n" ); document.write( "\n" ); document.write( "Law 2:
\n" ); document.write( "log(x) - log(y) = log(x/y)\r
\n" ); document.write( "\n" ); document.write( "Law 3:
\n" ); document.write( "nlog(x) = log(x^n)\r
\n" ); document.write( "\n" ); document.write( "When the base of a log is not written, it usually implies that the base is 10. These laws only apply when the logs have the same base.\r
\n" ); document.write( "\n" ); document.write( "Hope that helps.
\n" ); document.write( "Regards,
\n" ); document.write( "-Mike \n" ); document.write( "

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