en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(6)+2ln(2)

Solution

simplify

ln (6) + 2 ln (2)

Solution

ln (24)

+1

Decimal Notation

3.17805 \dots

Solution steps

ln (6) + 2 ln (2)

Apply log rule:

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

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

= ln (6) + ln (2^{2})

Apply log rule:

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

ln (6) + ln (2^{2}) = ln (2^{2} \cdot 6)

= ln (2^{2} \cdot 6)

6 \cdot 2^{2} = 24

= ln (24)

Popular Examples

simplify ln(2cos(x))simplify

ln (2 cos (x))

simplify-log_{10}(2.236*10^{-3})simplify

- lo g_{10} (2.236 \cdot 1 0^{- 3})

simplify ln((2^4)/(3^15^2))simplify

ln (\frac{2 ^{4}}{3 ^{1} 5 ^{2}})

simplify ln(s^4sqrt(t\sqrt{u)})simplify

ln (s^{4} t u)

simplify 2ln(x-1)-ln(x+2)-ln(x-2)simplify

2 ln (x - 1) - ln (x + 2) - ln (x - 2)

Frequently Asked Questions (FAQ)

What is ln(6)+2ln(2) ?
The solution to ln(6)+2ln(2) is ln(24)