How to expand log_bsqrt(57/74)?

Adrianna Esparza

Adrianna Esparza

Answered question

2022-12-22

How to expand logb5774?

Answer & Explanation

prejudec481

prejudec481

Beginner2022-12-23Added 8 answers

There are a few guidelines for loggingrithms. The full list is available here, but the second rule is relevant here:
logb(mn)=logb(m)logb(n)
Using this law, we can solve logb5774:
logb5774
logb57logb74
We can stop here, but I'm going to keep going and expand it as much as I can
logb57.5logb74.5
.5logb57.5logb74
12logb5712logb74
King Waters

King Waters

Beginner2022-12-24Added 3 answers

logb(5774)=logb((5774)12)
Use the rule logab=bloga
logb((5774)12)=12logb(5774)
Use the rule log(ab)=logalogb, and don't forget that the 12 belongs to the expression as a whole.
12logb(5774)=12logb5712logb74

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?