document.write( "Question 82835: prove the power property: logbUn = n·logbU \n" ); document.write( "
Algebra.Com's Answer #59411 by Edwin McCravy(20056)\"\" \"About 
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document.write( "prove the power property: logbUn = n·logbU\r\n" );
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document.write( "Proof is by induction:\r\n" );
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document.write( "First we prove it's true for n = 1.\r\n" );
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document.write( "logbU1 = logbU = 1·logbU\r\n" );
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document.write( "Assume true for n < k,\r\n" );
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document.write( "Need to prove that logbUk+1 = (k+1)logbU\r\n" );
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document.write( "logbUk+1 = logb(UkU1) = logbUk + logbU1\r\n" );
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document.write( "= k·logbU + logbU =  (logbU)(k+1) = (k+1)logbU\r\n" );
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document.write( "Edwin
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