document.write( "Question 242934: Hello,
\n" ); document.write( "Problem: log16^1/2.\r
\n" ); document.write( "\n" ); document.write( "I tried solving and I got 4.
\n" ); document.write( "What I'm not sure of is if its negative 4 or positive?
\n" ); document.write( "I might be completly off, but learning what i have about logarithms I think I might be on the right track.
\n" ); document.write( "Please let me know if its negative or positive, and my answer 4 is right.
\n" ); document.write( "Thanks
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Algebra.Com's Answer #177956 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%2816%2C%281%2F2%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%281%2F2%29%29%2Flog%2810%2C%2816%29%29\" Use the change of base formula.\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%282%5E%28-1%29%29%29%2Flog%2810%2C%2816%29%29\" Rewrite \"1%2F2\" as \"2%5E%28-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%282%5E%28-1%29%29%29%2Flog%2810%2C%282%5E4%29%29\" Rewrite \"16\" as \"2%5E4\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-1%2Alog%2810%2C%282%29%29%29%2F%284%2Alog%2810%2C%282%29%29%29\" Pull down the exponents using the identity \"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-1%2Across%28log%2810%2C%282%29%29%29%29%2F%284%2Across%28log%2810%2C%282%29%29%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"-1%2F4\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So \"log%2816%2C%281%2F2%29%29=-1%2F4\"
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