# Prime equals triple prime?

Calculus Level 3

$f'(x) = f'''(x)$

For some infinitely differentiable function $$f(x)$$, it satisfies the above equation. Given the initial conditions

$f(1) = 6, f'(1) = 5, f''(1) = -3$

What is the value of $$f( \ln(42) )$$?

Details and Assumptions

$$f'(k), f''(k), f'''(k)$$ denote the first, second, and third derivative of $$f(x)$$ at $$x=k$$ respectively.

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