What is ${log}_{e}$ $log_e$ of e?

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What is ${log}_{e}$ $log_e$ of e?

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{log}_{e}

$log_e$ of e?"

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Answer 1 · 2014-09-25T00:41:56

${log}_{e} e = ln e = 1$ $log_ee=lne=1$
( $ln$ $ln$ is a button on you GC, equivalent to ${log}_{e} e$ $log_ee$ )

By definition the ${log}_{a} a = 1$ $log_aa=1$ , whatever $a$ $a$ is.
(as long as $a \neq 0$ $a!=0$ and $a \neq 1$ $a!=1$ )

What ${log}_{a} x$ $log_ax$ means is:
What exponent do I use on $a$ $a$ to get $x$ $x$ ?

Example: ${log}_{10} 1000 = 3$ $log_10 1000 = 3$ because $10^{3} = 1000$ $10^3=1000$

So ${log}_{10} 10 = 1$ $log_10 10 = 1$ because $10^{1} = 10$ $10^1=10$
And this goes for any $a$ $a$ in ${log}_{a} a$ $log_aa$ because $a^{1} = a$ $a^1=a$

Answer 2 · 2015-03-24T15:57:53

The Answer is 1.

$ln (e)$ $ln(e)$ is the same thing as ${log}_{e} (e)$ $log_e(e)$

Because $e^{1} = e, {log}_{e} (e) = 1$ $e^1 = e, log_e(e) = 1$

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