What is the Brilliant course that explains how the definition of exponent extends to real numbers?

I am doing the course on Euler formula and got to Quiz 4 to a page (#2) which starts with the following statement: Recall how we extended the most basic definition of an exponent of e^x, “e multiplied by itself x times,” to an interpretation that made sense for all real values of x, not only positive, whole numbers. I do not remember seeing this interpretation in the prerequisite courses I took. I must have missed it.

Can someone point me to where this interpretation is introduced and explained?

Thank you.

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

I'd say Chapter $1$ you'll learn about $e^x$ .

A Former Brilliant Member - 12 months ago

Just to be sure - do you have a hyperlink?

Ethan Kharitonov - 11 months, 4 weeks ago

No.

A Former Brilliant Member - 11 months, 4 weeks ago

@A Former Brilliant Member – I am sorry, cannot find it. If anyone knows where it is - please, provide the link.

Ethan Kharitonov - 11 months, 3 weeks ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$