Question 799861
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)