en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4ln(2)-ln(3)

Solution

simplify

4 ln (2) - ln (3)

Solution

ln (\frac{16}{3})

+1

Decimal Notation

1.67397 \dots

Solution steps

4 ln (2) - ln (3)

Apply log rule:

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

4 ln (2) = ln (2^{4})

= ln (2^{4}) - ln (3)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (2^{4}) - ln (3) = ln (\frac{2 ^{4}}{3})

= ln (\frac{2 ^{4}}{3})

2^{4} = 16

= ln (\frac{16}{3})

Popular Examples

simplify-log_{10}((0.021)/(0.018)*2.3*10^{-11})simplify

- lo g_{10} (\frac{0.021}{0.018} \cdot 2.3 \cdot 1 0^{- 11})

simplify ln(y-3)-ln(y-1)simplify

ln (y - 3) - ln (y - 1)

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

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

simplify ln(8000000/21)simplify

ln (\frac{8000000}{21})

simplify ln(20/2)simplify

ln (\frac{20}{2})

Frequently Asked Questions (FAQ)

What is 4ln(2)-ln(3) ?
The solution to 4ln(2)-ln(3) is ln(16/3)