en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(v*x^2)

Solution

simplify

ln (v \cdot x^{2})

Solution

ln (v) + 2 ln (x)

Solution steps

ln (v x^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (v x^{2}) = ln (v) + ln (x^{2})

= ln (v) + ln (x^{2})

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= ln (v) + 2 ln (x)

Popular Examples

simplify ln((xy)/((y-x)^3))simplify

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

simplify ln((4.5)/(15))simplify

ln (\frac{4.5}{15})

simplify ln(255*10^{22})simplify

ln (255 \cdot 1 0^{22})

simplify ln(x)+ln(6x)simplify

ln (x) + ln (6 x)

simplify ln(4^x)+ln(2^{x+2})simplify

ln (4^{x}) + ln (2^{x + 2})

Frequently Asked Questions (FAQ)

What is ln(v*x^2) ?
The solution to ln(v*x^2) is ln(v)+2ln(x)