What is the approximate value of this logarithmic expression?
log8 24
OA.
0.90
OB.
1.53
0.48
OD.
1.38
![What is the approximate value of this logarithmic expression log8 24 OA 090 OB 153 048 OD 138 class=](https://us-static.z-dn.net/files/d65/67967f65a975453b2374322efa60efcb.png)
Answer:
[tex]log_8{24} = 1.53[/tex]
Step-by-step explanation:
Given
[tex]log_8{24}[/tex]
Required
Solve:
Apply the following law of logarithm:
[tex]log_a{b} = \frac{log\ b}{log\ a}[/tex]
So, we have:
[tex]log_8{24} = \frac{log\ 24}{log\ 8}[/tex]
Using calculator, we have:
[tex]log_8{24} = \frac{1.38021124171}{0.90308998699}[/tex]
[tex]log_8{24} = 1.52832083358[/tex]
Approximate
[tex]log_8{24} = 1.53[/tex]