en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(2)+2ln(x)

Solution

simplify

ln (2) + 2 ln (x)

Solution

ln (2 x^{2})

Solution steps

ln (2) + 2 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (2 x^{2})

Popular Examples

simplify ln(1/(1-0.4))simplify

ln (\frac{1}{1 - 0.4})

simplify log_{2}((x^3+2)sqrt((x-4)^3))simplify

lo g_{2} ((x^{3} + 2) (x - 4)^{3})

simplify-log_{10}(3.2*10^{-8})simplify

- lo g_{10} (3.2 \cdot 1 0^{- 8})

simplify-log_{10}(1.1*10^{-6})simplify

- lo g_{10} (1.1 \cdot 1 0^{- 6})

simplify-2(ln(100-x)-2ln(10))simplify

- 2 (ln (100 - x) - 2 ln (10))

Frequently Asked Questions (FAQ)

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