en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(5e^{-(6x)/t})

Solution

simplify

ln (5 e^{- \frac{6 x}{t}})

Solution

ln (5) - \frac{6 x}{t}

Solution steps

ln (5 e^{- \frac{6 x}{t}})

Apply log rule:

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

ln (5 e^{- \frac{6 x}{t}}) = ln (5) + ln (e^{- \frac{6 x}{t}})

= ln (5) + ln (e^{- \frac{6 x}{t}})

Apply log rule:

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

ln (e^{- \frac{6 x}{t}}) = - \frac{6 x}{t} ln (e)

= ln (5) - \frac{6 x}{t} ln (e)

\frac{6 x}{t} ln (e) = \frac{6 x}{t}

= ln (5) - \frac{6 x}{t}

Popular Examples

simplify-log_{10}(5.4*10^{-6})simplify

- lo g_{10} (5.4 \cdot 1 0^{- 6})

simplify log_{e}(56/77)simplify

lo g_{e} (\frac{56}{77})

simplify ln((\sqrt[5]{x^3y^2})/(z^4))simplify

ln (\frac{5 x ^{3} y ^{2}}{z ^{4}})

simplify ln(-1)-ln(2-sqrt(5))simplify

ln (- 1) - ln (2 - 5)

join 3/(2ln(2))-4/3 join

\frac{3}{2 ln ( 2 )} - \frac{4}{3}

Frequently Asked Questions (FAQ)

What is ln(5e^{-(6x)/t}) ?
The solution to ln(5e^{-(6x)/t}) is ln(5)-(6x)/t