en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(e^{-4})

Solution

simplify

ln (e^{- 4})

Solution

- 4

Solution steps

ln (e^{- 4})

Apply log rule

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

assuming

x \geq 0

= - 4 ln (e)

Apply log rule:

lo g_{a} (a) = 1

= - 4

Popular Examples

simplify (13^5)/(13^4)simplify

\frac{1 3 ^{5}}{1 3 ^{4}}

simplify-12/16 simplify

- \frac{12}{16}

simplify sqrt(1568)simplify

1568

simplify-8*(-5)simplify

- 8 \cdot (- 5)

expand (x+3)^{11}expand

(x + 3)^{11}

Frequently Asked Questions (FAQ)

What is ln(e^{-4}) ?
The solution to ln(e^{-4}) is -4