en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(3)+2ln(x)

Solution

simplify

ln (3) + 2 ln (x)

Solution

ln (3 x^{2})

Solution steps

ln (3) + 2 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (3 x^{2})

Popular Examples

simplify log_{9}(4)-log_{9}(7)simplify

lo g_{9} (4) - lo g_{9} (7)

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

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

simplify 1/2 log_{a}(8x^2)-1/6 log_{a}(8x^3)simplify

\frac{1}{2} lo g_{a} (8 x^{2}) - \frac{1}{6} lo g_{a} (8 x^{3})

expand log_{3}((2x)/y)expand

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

simplify ln(((6x-4)(2y))/(3x))simplify

ln (\frac{( 6 x - 4 ) ( 2 y )}{3 x})

Frequently Asked Questions (FAQ)

What is ln(3)+2ln(x) ?
The solution to ln(3)+2ln(x) is ln(3x^2)