Please HELP! If log_2 25=4.6438, the log_8 25=

Question

Answer 1

Hello Sarah,

You can use the change-of-base formula for logs:

log₈25 = log₂(25)/log₂(8)

You're told what log₂(25) is. You should know that log₂(8) = 3 because 2³ = 8

So log₈25 = log₂(25)/log₂(8) = 4.6438/3

I'll let you plug it in your calculator and find the answer. You got this.

Answer 2

2 = 8^0.25

(8^0.25)^4.6438 = 25

8^1.16095 = 25

log₈ 25 = 1.16095