en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(x)-ln(y)

Solution

simplify

3 ln (x) - ln (y)

Solution

ln (\frac{x ^{3}}{y})

Solution steps

3 ln (x) - ln (y)

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (x^{3}) - ln (y)

Apply log rule:

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

ln (x^{3}) - ln (y) = ln (\frac{x ^{3}}{y})

= ln (\frac{x ^{3}}{y})

Popular Examples

simplify-log_{10}(5*10^5)simplify

- lo g_{10} (5 \cdot 1 0^{5})

simplify 1/2*ln((x+1)/(x-1))simplify

\frac{1}{2} \cdot ln (\frac{x + 1}{x - 1})

simplify ln(10/10000000)simplify

ln (\frac{10}{10000000})

simplify log_{3}(2)+log_{3}(5)-log_{3}(4)simplify

lo g_{3} (2) + lo g_{3} (5) - lo g_{3} (4)

simplify sqrt(|5x+2|-|x^2+2|)+ln(4x)simplify

∣ 5 x + 2 ∣ - ∣ x^{2} + 2 ∣ + ln (4 x)

Frequently Asked Questions (FAQ)

What is 3ln(x)-ln(y) ?
The solution to 3ln(x)-ln(y) is ln((x^3)/y)