Select the correct answer.
What is the approximate value of this logarithmic expression?
\log _(8)24
A.
1.53
B.
0.48
C.
0.90
D.
1.38
To find the approximate value of the logarithmic expression log8(24), we can use the change of base formula:
log8(24) = log(24) / log(8)
Calculating the values:
log(24) ≈ 1.38 (approximately)
log(8) ≈ 0.90 (approximately)
Substituting these values into the expression:
log8(24) ≈ 1.38 / 0.90 ≈ 1.53
Therefore, the approximate value of the logarithmic expression log8(24) is 1.53.
The correct answer is A. 1.53.