# integration – Let \$f(x)\$ determine the value of \$g(x)\$ in terms of \$f(x)\$

Let $$f(x)$$ determine the value of $$g(x)$$ in terms of $$f(x),$$ my teacher tells me that the solution is between sustitution, i attemped $$u = log(x) ,du = frac{1}{x},dx$$, $$dx = e^u,du$$, also my teacher says that the interval of integration won’t be the same but it’s possible to split the integral, sorry im not native english speaker lol

$$f(x) = int_0^x e^{e^t} , dt$$
$$g(x) =int_2^3 frac{dx}{log(x)}$$