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Chapter 26: Problem 747

Find \(\log _{10} 100\)

Short Answer

Expert verified
The short answer to the question 'Find \(\log _{10} 100\)' is 2.

Step by step solution

01

Write the logarithmic equation

We have been given the logarithmic equation \(\log _{10} 100\). Our goal is to find the exponent which, when 10 is raised to it, results in 100.
02

Convert the logarithmic equation to exponential form

The given equation can be written in exponential form as: \[10^x = 100\]
03

Determine the exponent

To find x, we need to determine what power of 10 results in 100: \[10^2 = 100\] Here, the exponent is 2.
04

Write the final answer

Since raising 10 to the power of 2 results in 100, the value of \(\log _{10} 100\) is equal to 2. So: \[\log _{10} 100 = 2\]

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