en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- 2 ln (s + 2)

Solution steps

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

Apply log rule:

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

ln (\frac{1}{( s + 2 ) ^{2}}) = ln (1) - ln ((s + 2)^{2})

= ln (1) - ln ((s + 2)^{2})

Apply log rule:

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

ln ((s + 2)^{2}) = 2 ln (s + 2)

= ln (1) - 2 ln (s + 2)

Apply log rule:

lo g_{a} (1) = 0

= 0 - 2 ln (s + 2)

0 - 2 ln (s + 2) = - 2 ln (s + 2)

= - 2 ln (s + 2)

Popular Examples

simplify 1/3 (ln(130)-ln(5))simplify

\frac{1}{3} (ln (130) - ln (5))

simplify log_{a}(3)+2log_{a}(x)simplify

lo g_{a} (3) + 2 lo g_{a} (x)

simplify-ln(b/x)simplify

- ln (\frac{b}{x})

simplify ln(850)-ln(900)simplify

ln (850) - ln (900)

simplify ln(1+x)-ln(1+y)simplify

ln (1 + x) - ln (1 + y)

Frequently Asked Questions (FAQ)

What is ln(1/((s+2)^2)) ?
The solution to ln(1/((s+2)^2)) is -2ln(s+2)