en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(e^{1/3})

Solution

simplify

ln (e^{\frac{1}{3}})

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

ln (e^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} ln (e)

Apply log rule:

lo g_{a} (a) = 1

= \frac{1}{3}

Popular Examples

simplify (4^2)/(4^{-3)}simplify

\frac{4 ^{2}}{4 ^{- 3}}

simplify (1+i)^{-1}-i^{-1}simplify

(1 + i)^{- 1} - i^{- 1}

simplify sqrt(49a^2b^6)simplify

49 a^{2} b^{6}

simplify 6x^2-2x+2x^2-9x-10 simplify

6 x^{2} - 2 x + 2 x^{2} - 9 x - 10

factor 18x^2+3x-15 factor

18 x^{2} + 3 x - 15

Frequently Asked Questions (FAQ)

What is ln(e^{1/3}) ?
The solution to ln(e^{1/3}) is 1/3