Question

Write log_4 10 as a quotient of natural logarithms.ln__ln__

Answer 1

We have to use the change-of-base formula of logarithms to simply write this log.

The logarithm to convert is:

`\log _410`

The change of base formula (using natural logarithms) is:

`\log _ab=(\ln b)/(\ln a)`

Matching this with the logarithm, we can write it as:

`\log _410=(\ln 10)/(\ln 4)`