Question

use a calculator to approximate the logarithm. round to four decimal places.
log17≈

Explanation:

Step1: Recall the definition of common logarithm

The common logarithm \( \log x \) (base 10) can be calculated using a calculator. We need to find \( \log 17 \), which is the exponent to which 10 must be raised to get 17, i.e., \( 10^y = 17 \) where \( y=\log 17 \).

Step2: Use a calculator to compute \( \log 17 \)

Using a scientific calculator, we enter 17 and then press the log button (base 10 logarithm). The calculator gives us the value of \( \log 17 \approx 1.230448921 \).

Step3: Round to four decimal places

Rounding \( 1.230448921 \) to four decimal places, we look at the fifth decimal place which is 4. Since 4 is less than 5, we keep the fourth decimal place as it is. So, \( \log 17 \approx 1.2304 \).

Answer:

\( \log 17 \approx \boxed{1.2304} \)