Which logarithmic equation is equivalent to the exponential equation below?

8x = 24

A. x = log24 8

B. 24 = log8 x

C. 8 = log24 x

D. x = log8 24

D. x = log8 24

Step-by-step explanation:

we have this function

8^x = 24

Now we have to understand how the logarithm works.

we use the logarithm to know how much we have to raise a number to reach a result that we already know.

these two equations represent the same

a ^ b = c

log a c = b

8^x = 24

8 = a

x = b

c = 24

log a c = b

log 8 24 = x

option d.

Answer:D. X = log8 24