Question

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

log2 11

Answer 1

3.4594

Explanation:

To change the base of a logarithm

•
`log_(b)` x =
`(log_(c)x )/(log_(c)b )`

where c represents the new base

Changing the base from 2 to 10

`log_(2)` 11 =
`(log_(10)11 )/(log_(10)2 )` ≈ 3.4594