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Evaluate the logarithm 16) 10 is the base of the log

Evaluate the logarithm 16) 10 is the base of the log-example-1
User Setec
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1 Answer

2 votes

16)

Answer: - 3

Step-by-step explanation:


\log_(10)0.001

0.001 can be written as 1 x 10^- 3

Thus, the expression becomes


\log_(10)10^{-\text{ 3}}

We would apply the rule of logarithm below


\log_bb^k\text{ = k}

By comparing both expressions,

k = - 3

Thus, the answer is - 3

User Courteney
by
6.1k points
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