# Solving an equation

how can I solve this using algebraic methods? I know the solution is x = 1 from just looking at it, but not sure how to do it algebraically:

## x + 3^x = 4 ##

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You can set f(x) = x+3^x-4, take x=1 as a solution to f(x) = 0 and look if it is monotonic to show that it has no other solutions. Algebraically is not possible.

how can I solve this using algebraic methods? I know the solution is x = 1 from just looking at it, but not sure how to do it algebraically:
## x + 3^x = 4 ##
a very strange way of writing one:

$$x=\frac{-W(3^4\ln(3))}{\ln(3)}+4=1$$