Use the properties of logarithms to evaluate the expression.
-log $10 ^ { - 12 }$
A) log -12
B) -12
C) 12
D) 12 log 10

Name: Use the properties of logarithms to evaluate the expression. -log $10 ^ { - 12 }$ A) log -12 B) -12 C) 12 D) 12 log 10
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Question

Use the properties of logarithms to evaluate the expression.
-log  $10 ^ { - 12 }$
A)  log -12 
B)  -12 
C) 12
D)  12 log 10

Quizplus · Accepted Answer

The property of logarithms that applies here is $ \log_b(b^x) = x $, where $ b $ is the base of the logarithm. Since the base of the logarithm and the base of the exponent are the same (10), the expression simplifies to the exponent, which is $-12$.

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Use the Properties of Logarithms to Evaluate the Expression $10 ^ { - 12 }$