Question

What is the approximate value of this logarithmic expression?

log8 24
OA.
0.90
OB.
1.53
0.48
OD.
1.38

Answer 1

`log_8{24} = 1.53`

Explanation:

Given

`log_8{24}`

Required

Solve:

Apply the following law of logarithm:

`log_a{b} = (log\ b)/(log\ a)`

So, we have:

`log_8{24} = (log\ 24)/(log\ 8)`

Using calculator, we have:

`log_8{24} = (1.38021124171)/(0.90308998699)`

`log_8{24} = 1.52832083358`

Approximate

`log_8{24} = 1.53`