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Chapter 8: Problem 24

Evaluate each logarithm. $$ \log 10,000 $$

Short Answer

Expert verified
The value of \(\log 10,000\) is 4.

Step by step solution

01

Understand the logarithm

The logarithm \(\log 10000\) by default, is base 10 logarithm, because usually if no base is mentioned, it is understood as a common log, which is base 10. This implies that we are finding an exponent that, when 10 is raised to it, equals 10,000.
02

Compute the logarithm

10 to the power of what equals 10000? Writing 10,000 in exponential form with base 10, we have \(10^4 = 10,000\). Therefore, \(\log 10000 = 4\)

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