en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(ln(10)-ln(5))

Solution

simplify

3 (ln (10) - ln (5))

Solution

3 ln (2)

+1

Decimal Notation

2.07944 \dots

Solution steps

3 (ln (10) - ln (5))

Apply log rule:

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

ln (10) - ln (5) = ln (\frac{10}{5})

= 3 ln (\frac{10}{5})

Divide the numbers:

\frac{10}{5} = 2

= 3 ln (2)

Popular Examples

simplify ln(x(x+4))simplify

ln (x (x + 4))

simplify log_{10}(x^5y^2\sqrt[3]{x^2y^5})simplify

simplify 1/3 (ln(x)+ln(y))simplify

\frac{1}{3} (ln (x) + ln (y))

simplify ln(λe^{-λx})simplify

ln (λ e^{- λ x})

simplify log_{3}((a^3*b^2)/(c^4))simplify

lo g_{3} (\frac{a ^{3} \cdot b ^{2}}{c ^{4}})

Frequently Asked Questions (FAQ)

What is 3(ln(10)-ln(5)) ?
The solution to 3(ln(10)-ln(5)) is 3ln(2)