en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(e^{e^x})

Solution

simplify

ln (e^{e^{x}})

Solution

e^{x}

Solution steps

ln (e^{e^{x}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= ln (e) e^{x}

Apply log rule:

lo g_{a} (a) = 1

= e^{x}

Popular Examples

simplify (30)/(-5)simplify

\frac{30}{- 5}

simplify sqrt(15^2-12^2)simplify

1 5^{2} - 1 2^{2}

simplify (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3)simplify

\frac{6 m - 6}{m ^{2} - 4 m + 3} + \frac{15}{m ^{2} - 2 m - 3}

simplify ln|x^2|simplify

ln x^{2}

simplify (m^2-4m-12)/(4m^2-9)+(m^2+3m+6)/(4m^2-9)simplify

\frac{m ^{2} - 4 m - 12}{4 m ^{2} - 9} + \frac{m ^{2} + 3 m + 6}{4 m ^{2} - 9}

Frequently Asked Questions (FAQ)

What is ln(e^{e^x}) ?
The solution to ln(e^{e^x}) is e^x