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Mathematics 11 Online
OpenStudy (anonymous):

Simplify: ln e1

OpenStudy (solomonzelman):

\(\ln(e^1)\) ?

OpenStudy (solomonzelman):

like that?

OpenStudy (anonymous):

yea like that

OpenStudy (misty1212):

\(e^1\)?? must be an algorithmically generated question a human being would write (e\)

OpenStudy (anonymous):

yes

OpenStudy (solomonzelman):

Ok, you know that any number raised to an exponent of \(\color{black}{\LARGE _{^1}}\), is that number itself: \(\color{black}{a^1=a}\)

OpenStudy (anonymous):

oh wow that was so simple.

OpenStudy (solomonzelman):

And, just like: \(\log_a(a)=1\) \(\log_e(e)=\ln(e)=?\)

OpenStudy (anonymous):

so it would be e?

OpenStudy (solomonzelman):

again, I mentioned a property: \(\large \log_a(a)=1\) And number e also satisfies that property: So, the expression below would be equivalent to what? \(\large\log_e(e)=?\)

OpenStudy (anonymous):

1

OpenStudy (solomonzelman):

Yes

OpenStudy (solomonzelman):

So, \(\large\ln(e)=\log_e(e)=1\)

OpenStudy (anonymous):

thankyou thankyou thankyouu !

OpenStudy (solomonzelman):

\(\color{blue}{\Large \mathbb{Y}\unicode{x22a1} \mathbb{U}~~ \mathbb{WELC} \unicode{x22a1}\mathbb{ME}}\)

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