How do you find the exact value of $3 {ln e}^{4}$ $3lne^4$ ?

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How do you find the exact value of $3 {ln e}^{4}$ $3lne^4$ ?

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Answer 1 · 2017-01-25T23:23:52

$12$ $12$

Explanation:

$3 {ln e}^{4}$ $3ln e^4$
$= 3 \times 4 \times ln e$ $=3 xx 4 xx ln e$ (because ${log}_{a} x^{n} = n {log}_{a} x$ $log_a x^n=n log_a x$ )
$= 12 \times 1$ $=12 xx 1$ (because ${log}_{a} a = 1$ $log_a a = 1$ )
$= 12$ $=12$

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How do you find the exact value of $3 {ln e}^{4}$ $3lne^4$ ?

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How do you find the exact value of $3 {ln e}^{4}$ $3lne^4$ ?