Question

What is the approximate value of log6(25)?

Answer 1

Using the equivalence:

log_b(x)=log_e(x)/log_e(b)

(use base 10 or any other base if more convenient)

log_6(25)=log_e(25)/log_e(6)
=3.218876.../1.791759...
=1.796489... (approximately)

Answer 2

`log_(6)(25)=1.796`

Explanation:

We have to find the value of
`log_(6)(25)`

`log_(6)(25)=(log_(10)25)/(log_(10)6)`

[Since
`log_(b)a=(log_(10)a)/(log_(10)b)`]

`log_(6)(25)=(1.39794)/(0.77818)`

`log_(6)(25)=1.796`

Therefore,
`log_(6)(25)=1.796` will be the answer.