Question

Which of the following is equivalent to log 6 37 rounded to three decimal places?

2.015

1.677

0.790

0.496

Answer 1

\[\log_{10}(37)=????\]
Can you use a calculator or do you have to estimate?

Answer 2

oops
\[\log _6(37)=???\]

Answer 3

Yes, and I think you can use a calculator but I'm not sure how to solve this

Answer 4

let's do both.
First, calculator way:
\[\log_n(16)=\frac{\log_{10}(16)}{\log_{10}(n)}\]

Answer 5

the n can be any base and the number in the log can be any number for this to work.