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Algebra Level 1

$\huge \ln{\left(\color{#D61F06}e^{\left(\ln{\left(\color{#D61F06}{e^e}\right)}\right)}\right)} \ = \ ?$

-e

0

e

1

2 solutions

Evan Huynh
Dec 21, 2015

$\huge { \ln (e^{\ln (e^{e})}) \\ = \ln (e^{e \times \ln (e)}) \\ = \ln (e^{e}) \\ = e \times \ln(e) \\ = \boxed{e} }$

Note: $\ln(e) = 1$

Simple standard approach.

Arulx Z
Dec 24, 2015

$\ln { { e }^{ e } } =e\ln { e } =e$

$\huge{=\ln { { e }^{ \ln { { e }^{ e } } } } \\ =\ln { { e }^{ e } } \\ =e}$