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Chapter 26: Chapter 26

Problem 747

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

Short Answer

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The short answer to the question 'Find \(\log _{10} 100\)' is 2.
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TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: 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.

Step 2: Convert the logarithmic equation to exponential form

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

Step 3: 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.

Step 4: 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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