en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(2e^{-3x^2})

Solution

simplify

ln (2 e^{- 3 x^{2}})

Solution

ln (2) - 3 x^{2}

Solution steps

ln (2 e^{- 3 x^{2}})

Apply log rule:

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

ln (2 e^{- 3 x^{2}}) = ln (2) + ln (e^{- 3 x^{2}})

= ln (2) + ln (e^{- 3 x^{2}})

Apply log rule:

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

ln (e^{- 3 x^{2}}) = - 3 x^{2} ln (e)

= ln (2) - 3 x^{2} ln (e)

3 x^{2} ln (e) = 3 x^{2}

= ln (2) - 3 x^{2}

Popular Examples

simplify 2ln((82.6)/(51.2))simplify

2 ln (\frac{82.6}{51.2})

simplify-ln(1-e^λ)-ln(y!)simplify

- ln (1 - e^{λ}) - ln (y!)

simplify ln(a^n*e^{-a*(x-b)})simplify

ln (a^{n} \cdot e^{- a \cdot (x - b)})

simplify log_{7}(x)+1/2 log_{7}(y^6)-2log_{7}(z)simplify

lo g_{7} (x) + \frac{1}{2} lo g_{7} (y^{6}) - 2 lo g_{7} (z)

simplify 30*ln(3/(0.2))simplify

30 \cdot ln (\frac{3}{0.2})

Frequently Asked Questions (FAQ)

What is ln(2e^{-3x^2}) ?
The solution to ln(2e^{-3x^2}) is ln(2)-3x^2