- #1
j9mom
- 31
- 0
Homework Statement
(2^x - 2^-x)/3=4
Homework Equations
Using log or exponential rules
The Attempt at a Solution
First multiply both sides by 3 so 2^x-2^-x=12
I thought I could take the log of both sides then condense the log, but that is not right.
I also attempted to rewrite as 2^x - 1/(2^x) = 12 but I could nowhere with that.
I also attempted to do (2 - 2^-1)^x = 12
(2-1/2)^x = 12
(3/2)^x = 12
log(3/2)^x = log 12
x(log 3/2) = log 12
x= log 12/log 3/2 = 6.128
But that is not the right answer it is supposed to be 3.595 . Where did I go wrong?