SOLUTION: I've tried using logs, but am not sure about actually dividing one log by another (.04)^X *10^9 = 1 .....I think the answer is approximately 30, but can't prove to myself

Question 30094: I've tried using logs, but am not sure about actually dividing one log by another

(.04)^X *10^9 = 1 .....I think the answer is approximately 30, but can't prove to myself
Found 2 solutions by josmiceli, Fermat:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

take the log(base 10) of both sides

(the log of 1 is 0)

(log(a^b) = b*log(a))

to be honest, I don't get the right answer when I plug this
back into
I slipped up somewhere, I think. . . don't know where
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!

take logs (to the base 10) of both sides

Rule of logs: (to any base)
So we get,
(log(1) = 0)
Rule of logs: (to any base)
So we get,

(log(10) = 1)

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