en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/((e^x+c)))

Solution

simplify

ln (\frac{1}{( e ^{x} + c )})

Solution

- ln (c + e^{x})

Solution steps

ln (\frac{1}{( e ^{x} + c )})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{( e ^{x} + c )}) = ln (1) - ln ((e^{x} + c))

= ln (1) - ln (c + e^{x})

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (c + e^{x})

0 - ln (e^{x} + c) = - ln (e^{x} + c)

= - ln (c + e^{x})

Popular Examples

simplify log_{10}(8*10^{-7})simplify

lo g_{10} (8 \cdot 1 0^{- 7})

expand ln((1+sin(2x))^{cos(x)})expand

ln ((1 + sin (2 x))^{c o s (x)})

simplify ln((e^2)/(1+e^2))simplify

ln (\frac{e ^{2}}{1 + e ^{2}})

simplify-y+ln(xy)+xln(x)simplify

- y + ln (x y) + x ln (x)

join 4/5 log_{3}(80)join

\frac{4}{5} lo g_{3} (80)

Frequently Asked Questions (FAQ)

What is ln(1/((e^x+c))) ?
The solution to ln(1/((e^x+c))) is -ln(c+e^x)