en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

ln (864 x^{3} y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

(6 x)^{3} \cdot 4 y : 864 x^{3} y

= ln (864 x^{3} y)

Popular Examples

simplify 2ln(5)+3ln(2)simplify

2 ln (5) + 3 ln (2)

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

2 ln (6) - 2 ln (2)

simplify 3/2 log_{10}(x)+3/2 log_{10}(y)simplify

\frac{3}{2} lo g_{10} (x) + \frac{3}{2} lo g_{10} (y)

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

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

simplify log_{3}(1/6)simplify

lo g_{3} (\frac{1}{6})

Frequently Asked Questions (FAQ)

What is 3ln(6x)+ln(4y) ?
The solution to 3ln(6x)+ln(4y) is ln(864x^3y)