en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(7)+3ln(xy)

Solution

simplify

ln (7) + 3 ln (x y)

Solution

ln (7 x^{3} y^{3})

Solution steps

ln (7) + 3 ln (x y)

Apply log rule:

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

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

= ln (7) + ln ((x y)^{3})

Apply log rule:

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

ln (7) + ln ((x y)^{3}) = ln (7 (x y)^{3})

= ln (7 (x y)^{3})

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

= ln (7 x^{3} y^{3})

Popular Examples

simplify 13ln(x)-2ln(x^2+12)simplify

13 ln (x) - 2 ln (x^{2} + 12)

simplify ln((tx)^2)-2ln(ty)simplify

ln ((t x)^{2}) - 2 ln (t y)

simplify e^3+ln(16x)simplify

e^{3} + ln (16 x)

simplify ln(x)-ln((x^2+3x+2)^2)simplify

ln (x) - ln ((x^{2} + 3 x + 2)^{2})

simplify ln(x+1)+ln(sin(y))simplify

ln (x + 1) + ln (sin (y))

Frequently Asked Questions (FAQ)

What is ln(7)+3ln(xy) ?
The solution to ln(7)+3ln(xy) is ln(7x^3y^3)