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pls tell me how the inverse function of e^x is ln x

Note by Real Champ 11 months, 3 weeks ago

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2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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Recall that if \(f^{- 1}(x)\) is the inverse of \(f(x)\), then

\[f\bigg(f^{- 1}(x)\bigg) = x\]

For \(f(x) = e^x\) and \(f^{- 1}(x) = \ln x\), we have

\[e^{\ln x} = x \ \blacksquare\]

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thnks

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestRecall that if \(f^{- 1}(x)\) is the inverse of \(f(x)\), then

\[f\bigg(f^{- 1}(x)\bigg) = x\]

For \(f(x) = e^x\) and \(f^{- 1}(x) = \ln x\), we have

\[e^{\ln x} = x \ \blacksquare\]

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thnks

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