SOLUTION: solve using natural logs 2^(x/2) = 5 I think it would be 2ln(5)/ln(2). Is that correct? If not how do you solve it?

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Question 799861: solve using natural logs
2^(x/2) = 5
I think it would be 2ln(5)/ln(2). Is that correct? If not how do you solve it?
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct.
Given:
(1) 2^(x/2)= 5
Take the ln of each side to get
(2) (x/2)ln(2) = ln(5) or
(3) xln(2) = 2ln(5) or
(4) x = 2ln(5)/ln(2)
Since
(5) 2ln(5) = ln(5)^2 or
(6) 2ln(5) = ln(25)
We may also write (4) as
(7) x = ln(25)/ln(2)