Problem 24

Question

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

Step-by-Step Solution

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Answer

The value of $\log 10,000$ is 4.

1Step 1: 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.

2Step 2: 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, $\log 10000 = 4$

Problem 24

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