en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(3x^4y^6)

Solution

expand

ln (3 x^{4} y^{6})

Solution

ln (3) + 4 ln (x) + 6 ln (y)

Solution steps

ln (3 x^{4} y^{6})

Apply log rule:

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

ln (3 x^{4} y^{6}) = ln (3) + ln (x^{4}) + ln (y^{6})

= ln (3) + ln (x^{4}) + ln (y^{6})

Apply log rule:

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

ln (x^{4}) = 4 ln (x)

= ln (3) + 4 ln (x) + ln (y^{6})

Apply log rule:

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

ln (y^{6}) = 6 ln (y)

= ln (3) + 4 ln (x) + 6 ln (y)

Popular Examples

simplify-2*ln((0.2)/(1.2))simplify

- 2 \cdot ln (\frac{0.2}{1.2})

simplify (ln(7)-ln(1.02))/(3ln(1.02))simplify

\frac{ln ( 7 ) - ln ( 1.02 )}{3 ln ( 1.02 )}

simplify 6ln(3)-6ln(2)simplify

6 ln (3) - 6 ln (2)

simplify log_{e}(8)+9log_{e}(pi)-log_{e}(5)simplify

lo g_{e} (8) + 9 lo g_{e} (π) - lo g_{e} (5)

simplify-ln(25/16)simplify

- ln (\frac{25}{16})

Frequently Asked Questions (FAQ)

What is expand ln(3x^4y^6) ?
The solution to expand ln(3x^4y^6) is ln(3)+4ln(x)+6ln(y)