en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(a)-5ln(b)

Solution

simplify

ln (a) - 5 ln (b)

Solution

ln (\frac{a}{b ^{5}})

Solution steps

ln (a) - 5 ln (b)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (b) = ln (b^{5})

= ln (a) - ln (b^{5})

Apply log rule:

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

ln (a) - ln (b^{5}) = ln (\frac{a}{b ^{5}})

= ln (\frac{a}{b ^{5}})

Popular Examples

simplify ln(sqrt(3))+ln(sqrt(8))simplify

ln (3) + ln (8)

simplify-ln((sqrt(3))/2)simplify

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

simplify ln(3.9*10^{-13})simplify

ln (3.9 \cdot 1 0^{- 13})

simplify ln((T^2)/(T^1))simplify

ln (\frac{T ^{2}}{T ^{1}})

join 1/4 ln(5)join

\frac{1}{4} ln (5)

Frequently Asked Questions (FAQ)

What is ln(a)-5ln(b) ?
The solution to ln(a)-5ln(b) is ln(a/(b^5))