en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(x^3yz)

Solution

expand

ln (x^{3} yz)

Solution

3 ln (x) + ln (y) + ln (z)

Solution steps

ln (x^{3} yz)

Apply log rule:

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

ln (x^{3} yz) = ln (x^{3}) + ln (y) + ln (z)

= ln (x^{3}) + ln (y) + ln (z)

Apply log rule:

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

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

= 3 ln (x) + ln (y) + ln (z)

Popular Examples

simplify 2+3ln(t)-4ln(x)simplify

2 + 3 ln (t) - 4 ln (x)

simplify-log_{10}(4.18*10^{-3})simplify

- lo g_{10} (4.18 \cdot 1 0^{- 3})

simplify ln(1/2)+ln(sqrt(3))simplify

ln (\frac{1}{2}) + ln (3)

simplify ln(y/x)-ln(x)simplify

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

simplify ln(bx)simplify

ln (b x)

Frequently Asked Questions (FAQ)

What is expand ln(x^3yz) ?
The solution to expand ln(x^3yz) is 3ln(x)+ln(y)+ln(z)