What does the notation ln^2 mean in logarithm notation?

[Feodalherren]

Homework Statement

\left(ln\stackrel{2}{}(1+x)=4\right)

I've never seen a number above the ln like that, usually it's on another term or simply ln(2). What does that numer mean? Is it Log(e)^2 i.e. (Loge)(Loge)? That doesn't make any sense to me.

Homework Equations

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The Attempt at a Solution

Bring the 2 down and divide both sides by it.
ln (1+x)=2

(e^2) - 1=x

It's supposed to have one more solution, x = (1/(e^2)) - 1

 

[micromass]

It means

(ln(1+x))^2=4

 

[Feodalherren]

Ah that makes complete sense. Thank you.

 

[HallsofIvy]

Remember that for, any function, f, the notation "f(x)" means the function evaluated at x- that is, f(x) is a number and so f^n(x) is that number to the nth power. Generally, for any function, f, the notation fⁿ means "the value of f to the nth power".

The only (unfortunate) exception to that is '-1'. f^{-1} typically means "the inverse function", not 1/f.