exponential form

Question

log_2401(7)=1/4

Answer 1

Hello, thank you for taking the time to post your question!

I think what it’s getting at here is that if you raise 7 to the fourth power you end up with 2401

7^4 = 2401

So that is what allows the underlying log formula here to be true log 7 of 2401 = log 7 of 7^4 = 1/4

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

log ₂₄₀₁ 7 = 1/4

2401^1/4 = 7