en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4/10000)

Solution

simplify

ln (\frac{4}{10000})

Solution

2 ln (2) - 4 ln (10)

+1

Decimal Notation

- 7.82404 \dots

Solution steps

ln (\frac{4}{10000})

Apply log rule:

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

ln (\frac{4}{10000}) = ln (4) - ln (10000)

= ln (4) - ln (10000)

ln (4) = 2 ln (2)

ln (10000) = 4 ln (10)

= 2 ln (2) - 4 ln (10)

Popular Examples

simplify 1/2 ln(9t^{10})-ln(3)simplify

\frac{1}{2} ln (9 t^{10}) - ln (3)

simplify 5ln(x^{1/3})+ln(9x)simplify

5 ln (x^{\frac{1}{3}}) + ln (9 x)

simplify 5ln(2)-5ln(-2)simplify

5 ln (2) - 5 ln (- 2)

simplify ln((e+1)(e-1))-1 simplify

ln ((e + 1) (e - 1)) - 1

simplify ln(-f(-3))simplify

ln (- f (- 3))

Frequently Asked Questions (FAQ)

What is ln(4/10000) ?
The solution to ln(4/10000) is 2ln(2)-4ln(10)