en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(x^6y^3)

Solution

expand

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

Solution

6 ln (x) + 3 ln (y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

expand log_{10}((y^2)/z)expand

lo g_{10} (\frac{y ^{2}}{z})

simplify log_{5}(1/25 a^3b^2)simplify

lo g_{5} (\frac{1}{25} a^{3} b^{2})

expand log_{9}(((u^4)/w)^4)expand

lo g_{9} ((\frac{u ^{4}}{w})^{4})

simplify 3log_{10}(x)-log_{10}(1/x)simplify

3 lo g_{10} (x) - lo g_{10} (\frac{1}{x})

simplify log_{a}(ab)simplify

lo g_{a} (ab)

Frequently Asked Questions (FAQ)

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