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When you have an exponential function of the form

$$f(x)=e^{x}$$

you can write it

$$f(x)=\exp(x)$$

which is really convenient when the power is a complex expression.

If you have a function that has a base other than $e$ is there a way to write it in a similar manner?

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You can rewrite $$a^x = {\rm e}^{x\ln(a)}=\exp(x\ln(a))$$

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