en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{e}(2e^{+e})

Solution

simplify

lo g_{e} (2 e^{+ e})

Solution

ln (2) + e

+1

Decimal Notation

3.41142 \dots

Solution steps

lo g_{e} (2 e^{e})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{e} (2 e^{e}) = lo g_{e} (2) + lo g_{e} (e^{e})

= lo g_{e} (2) + lo g_{e} (e^{e})

Apply log rule:

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

lo g_{e} (e^{e}) = e lo g_{e} (e)

= lo g_{e} (2) + e lo g_{e} (e)

lo g_{e} (2) = ln (2)

e lo g_{e} (e) = e

= ln (2) + e

Popular Examples

simplify ln((y-1)e^y)simplify

ln ((y - 1) e^{y})

simplify ln(e^x*6x)simplify

ln (e^{x} \cdot 6 x)

simplify-log_{10}(6.33*10^{-5})simplify

- lo g_{10} (6.33 \cdot 1 0^{- 5})

simplify-log_{10}(8.6*10^{-8})simplify

- lo g_{10} (8.6 \cdot 1 0^{- 8})

simplify ln((\sqrt[7]{\frac{5(2)^3)/(3^2)}}{6^2})simplify

Frequently Asked Questions (FAQ)

What is log_{e}(2e^{+e}) ?
The solution to log_{e}(2e^{+e}) is ln(2)+e