document.write( "Question 254610: Use the properites of logarithns to condende the expression:\r
\n" ); document.write( "\n" ); document.write( "1/2[3log(w-4)+2log(w+5)-log7] \n" ); document.write( "

Algebra.Com's Answer #186957 by drk(1908) $\"\"$ $\"About$

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Here is the original problem:
\n" ); document.write( " $\"%281%2F2%29%2A%283log%28w-4%29%2B2log%28w%2B5%29-log%287%29%29\"$
\n" ); document.write( "First take the 3 and 2 up as exponents [power rule] as
\n" ); document.write( " $\"%281%2F2%29%2A%28log%28w-4%29%29%5E3+%2B+%28log%28w%2B5%29%29%5E2-log%287%29\"$
\n" ); document.write( "Second, multiply log(w-4))^3 + (log(w+5))^2 to get
\n" ); document.write( " $\"%281%2F2%29%2A%28log%28w-4%29%29%5E3%2A%28%28w%2B5%29%29%5E2-log%287%29\"$
\n" ); document.write( "Third, divide by log(7) to get
\n" ); document.write( " $\"%28%281%2F2%29%2A%28log%28w-4%29%29%5E3%2A%28%28w%2B5%29%29%5E2%29%2F%287%29\"$
\n" ); document.write( "Last bring the front 1/2 as a power as
\n" ); document.write( " $\"%28%28log%28w-4%29%29%5E3%2A%28%28w%2B5%29%29%5E2%2F%287%29%29%5E%281%2F2%29\"$ \n" ); document.write( "

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