Question

what is the value of \\(\log 13\\)? use a calculator. round your answer to the nearest tenth.

0.1
0.3
1.1
2.6

Explanation:

⚡ Using what you learned: Evaluating Logarithmic Expressions

Step 1: Identify the base of the logarithm

The expression is written as \(\log 13\). When a logarithm is written without an explicit base, it represents the common logarithm, which has a base of \(10\):

$$ \log 13 = \log_{10} 13 $$

Step 2: Calculate the value

Using a calculator to find the common logarithm of \(13\):

$$ \log_{10} 13 \approx 1.113943... $$

Step 3: Round to the nearest tenth

Look at the hundredths place to round to the nearest tenth:

• The digit in the tenths place is \(1\).
• The digit in the hundredths place is \(1\).
• Since \(1 < 5\), round down.

$$ 1.113943... \approx 1.1 $$

Answer:

1.1