document.write( "Question 1127320: Prove the product property of logarithms, log_b mn = log_b m+ log_b n, using the properties of exponents. The work is started for you.\r
\n" ); document.write( "\n" ); document.write( "Let w=log_b m and v=log_b n \n" ); document.write( "
Algebra.Com's Answer #743738 by math_helper(2461)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Log base b of n is the exponent to which b must be raised to give you n.
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\n" ); document.write( "\n" ); document.write( "\"+mn+=++b%5E%28%28log%28b%2C%28m%29%29%29%29%2A+b%5E%28%28log%28b%2C%28n%29%29%29%29+\"
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\n" ); document.write( "\n" ); document.write( "Using \"+x%5E%28a%29+%2A+x%5E%28b%29+=+x%5E%28a%2Bb%29+\" :
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\n" ); document.write( "\n" ); document.write( "\"+mn+=+b%5E%28%28log%28b%2C+%28m%29%29+%2B+log%28b%2C%28n%29+%29+%29%29+\"
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\n" ); document.write( "\n" ); document.write( "Taking log_b of both sides:
\n" ); document.write( "\"+log%28b%2C%28mn%29%29+=+log%28b%2C+%28m%29%29+%2B+log%28b%2C%28n%29+%29++\"\r
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