How to solve 1n 2 + 1n x = 5.

Answer 1

I read that as
n^2 + n^x = 5

which is an equation with two variables, thus there is no unique solution
e.g. if x = 3, we have n^2 + n^3 = 5
which becomes a cubic equation, with n = appr 1.4334
if n = 2, we have 2^2 + 2^x = 5
2^x = 1
x = 0

clarify what you mean.

Answer 2

It appears you cannot tell the difference between one(1) and L(l). I assume you meant
ln 2 + ln x = 5
recall that lna+lnb = ln(ab). So,
ln(2x) = 5
2x = e^5
x = e^5 / 2