Find the value of x for exp(3x)=e ?

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1 Answer

See explanation below

Explanation:

They are asking for a solution of #e^(3x)=e^1=e# (1)

However, #e^x# is an injective function, that means: the exponents have to be equal, so the expression (1) would be true if and only if #3x=1#.

And this is true if #x=1/3#.

So, the solution is #x=1/3#