Solved on Dec 09, 2023

Round log742\log_{7} 42 to the nearest thousand.

STEP 1

Assumptions
1. We are given that log7421.92\log _{7} 42 \approx 1.92.
2. We are asked to round this approximation to the nearest thousandth.

STEP 2

To round the given logarithm to the nearest thousandth, we need to look at the fourth decimal place.

STEP 3

Since the given approximation is log7421.92\log _{7} 42 \approx 1.92, we assume the third decimal place is zero, as it is not provided. Thus, we consider the number as 1.9201.920.

STEP 4

The fourth decimal place is not given, so we assume it is less than 5 because if it were 5 or more, it would have been rounded up and affected the third decimal place.

STEP 5

Since the fourth decimal place is assumed to be less than 5, we do not need to increase the third decimal place when rounding to the nearest thousandth.

STEP 6

Therefore, the logarithm rounded to the nearest thousandth is 1.9201.920.
log7421.920\log _{7} 42 \approx 1.920 when rounded to the nearest thousandth.

Was this helpful?
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ContactInfluencer programPolicyTerms
TwitterInstagramFacebookTikTokDiscord