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^y+1))

Solution

simplify

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

Solution

- ln (e^{y} + 1)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (e^{y} + 1)

0 - ln (e^{y} + 1) = - ln (e^{y} + 1)

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

Popular Examples

simplify ln(6x)-ln(2)simplify

ln (6 x) - ln (2)

simplify ln(12x-36)-2ln(x)simplify

ln (12 x - 36) - 2 ln (x)

join 2log_{b/a}(a)join

2 lo g_{\frac{b}{a}} (a)

simplify-ln(10*2)+1 simplify

- ln (10 \cdot 2) + 1

simplify 10ln(u)-2ln(v)simplify

10 ln (u) - 2 ln (v)

Frequently Asked Questions (FAQ)

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