- #1
ThatDude
- 33
- 0
Homework Statement
(2^(x+1)) / (5^x)) = 3
2.The attempt at a solution
(2^(x+1)) / (5^x)) = 3
((log 2 (x+1)) / (x log 5)) = log 3
(x log 2 + log 2) / (x log 5) = log 3
( log (2^ (x+1))) / (log (5^x)) = log 3
log (base: 5^x) (number: 2 ^ (x+1)) = log 3
(5^x) ^ (log 3) = 2 ^ (x+1)
(x log 5) ( log 3) = x log 2 + log 2
x ~ 9.09
I know that this is not the right answer but I don't understand where I went wrong.