en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((s+a)/(s+b))

Solution

simplify

ln (\frac{s + a}{s + b})

Solution

ln (s + a) - ln (s + b)

Solution steps

ln (\frac{s + a}{s + b})

Apply log rule:

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

ln (\frac{s + a}{s + b}) = ln (s + a) - ln (s + b)

= ln (s + a) - ln (s + b)

Popular Examples

simplify 83*log_{10}((101.574)/(83))+2*10 simplify

83 \cdot lo g_{10} (\frac{101.574}{83}) + 2 \cdot 10

simplify ln(2.3*10^{-3})simplify

ln (2.3 \cdot 1 0^{- 3})

simplify ln(1+0.5^4+2*0.5^2)+ln(1+0.5^4-2*0.5^2)simplify

ln (1 + 0. 5^{4} + 2 \cdot 0. 5^{2}) + ln (1 + 0. 5^{4} - 2 \cdot 0. 5^{2})

simplify 8/5 ln(a)+9/10 ln(b)simplify

\frac{8}{5} ln (a) + \frac{9}{10} ln (b)

simplify 3log_{6}(y-3)-4log_{6}(y+2)simplify

3 lo g_{6} (y - 3) - 4 lo g_{6} (y + 2)

Frequently Asked Questions (FAQ)

What is ln((s+a)/(s+b)) ?
The solution to ln((s+a)/(s+b)) is ln(s+a)-ln(s+b)