en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((16/3)/(0.2))

Solution

simplify

ln (\frac{\frac{16}{3}}{0.2})

Solution

4 ln (2) - ln (3) - ln (0.2)

+1

Decimal Notation

3.28341 \dots

Solution steps

ln (\frac{\frac{16}{3}}{0.2})

Apply log rule:

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

ln (\frac{\frac{16}{3}}{0.2}) = ln (\frac{16}{3}) - ln (0.2)

= ln (\frac{16}{3}) - ln (0.2)

Apply log rule:

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

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

= ln (16) - ln (3) - ln (0.2)

ln (16) = 4 ln (2)

= 4 ln (2) - ln (3) - ln (0.2)

Popular Examples

simplify ln(ye^{(-x^2-y^2)/2})simplify

ln (y e^{\frac{- x ^{2} - y ^{2}}{2}})

simplify 2ln(x)-1/2 ln(x+5)simplify

2 ln (x) - \frac{1}{2} ln (x + 5)

join 4^{(ln(4/3))/(3ln(2))}join

4^{\frac{l n ( \frac{4}{3} )}{3 l n ( 2 )}}

simplify ln(5x)+ln(3x)simplify

ln (5 x) + ln (3 x)

simplify-log_{10}(1.3x10^{-4})simplify

- lo g_{10} (1.3 x 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is ln((16/3)/(0.2)) ?
The solution to ln((16/3)/(0.2)) is 4ln(2)-ln(3)-ln(0.2)