en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)+6ln(y)

Solution

simplify

ln (x) + 6 ln (y)

Solution

ln (x y^{6})

Solution steps

ln (x) + 6 ln (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (x y^{6})

Popular Examples

simplify log_{5}((sqrt(5))/(25))+e^{ln(3)+ln(4)}simplify

lo g_{5} (\frac{5}{25}) + e^{l n (3) + l n (4)}

simplify log_{b}(y^6z)simplify

lo g_{b} (y^{6} z)

simplify ln((x(x^2+1)^2)/(sqrt(2x^3-1)))simplify

ln (\frac{x ( x ^{2} + 1 ) ^{2}}{2 x ^{3} - 1})

simplify ln(x^2e^x)simplify

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

simplify log_{10}(40/9)+4log_{10}(5)+2log_{10}(6)simplify

lo g_{10} (\frac{40}{9}) + 4 lo g_{10} (5) + 2 lo g_{10} (6)

Frequently Asked Questions (FAQ)

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