SOLUTION: My son and I are trying to figure out how to evaluate the following problem. 2log(5)(1/25)

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Question 1050952: My son and I are trying to figure out how to evaluate the following problem.
2log(5)(1/25)
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2log(5)(1/25)
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log5(1/25) = log5(5^-2) = -2
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You are multiplying that by 2
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So your answer is 2*-2 = -4
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Let me know if that does not make any sense.
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%2Alog%28+5%2C+%281%2F25%29+%29+
I can make an equation out of this
+x+=+2%2Alog%28+5%2C+%281%2F25%29+%29+
+x%2F2+=+log%28+5%2C+%281%2F25%29+%29+
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This says that +x%2F2+ is a log ( exponent ), and
when +5+ is used as a base for this log, the
result is +1%2F25+
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So, I can rewrite this as:
+5%5E%28x%2F2%29+=+1%2F25+
+5%5E%28x%2F2%29+=+1%2F%28%285%5E2%29%29+
+5%5E%28x%2F2%29+=+5%5E%28-2%29+
+x%2F2+=+-2+
+x+=+-4+ answer
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check answer:
+x+=+2%2Alog%28+5%2C+%281%2F25%29+%29+
+-4+=+2%2Alog%28+5%2C+%281%2F25%29+%29+
+-2+=+log%28+5%2C%281%2F25%29+%29+
+-2+=+log%28+5%2C+.04+%29+
+5%5E%28-2%29+=+.04+
+.04+=+.04+
OK ( used my calculator to check )