Use properties of logarithms to evaluate the expression. \log(0.01)^5

avissidep

avissidep

Answered question

2021-11-09

Use properties of logarithms to evaluate the expression.
log(0.01)5

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-11-10Added 101 answers

Step 1
The given expression is, log(0.01)5
Step 2
Use properties of logarithms to evaluate the expression as follows. log(0.01)5=5log(0.01)   [loga(xb)=bloga(x)]
=5(2)   [log(0.01)=2]
=10
Thus, the value of the given expression is -10

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