Evaluating Logarithmic Expressions

What is the value of [tex]\log 13[/tex]? Use a calculator. Round your answer to the nearest tenth.

A. 0.1
B. 0.3
C. 1.1
D. 2.6



Answer :

To determine the value of [tex]\(\log 13\)[/tex] and round it to the nearest tenth, follow these steps:

1. Understanding the Problem:
- We need to calculate the common logarithm (base 10) of 13.
- After calculating, we need to round the result to the nearest tenth.

2. Using a Calculator:
- Input the value 13 into a scientific calculator.
- Use the logarithm function (usually denoted as `log` or `log10`) which calculates the base 10 logarithm.

3. Performing the Calculation:
- When you calculate [tex]\(\log 13\)[/tex], you will get a decimal result.

4. Rounding the Result:
- After obtaining the decimal result from the calculator, round this number to the nearest tenth.

By using these steps, we find that the value of [tex]\(\log 13\)[/tex] is approximately 1.1 when rounded to the nearest tenth.

Therefore, the value of [tex]\(\log 13\)[/tex] is [tex]\(1.1\)[/tex].