en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1000/25)

Solution

simplify

ln (\frac{1000}{25})

Solution

3 ln (10) - 2 ln (5)

+1

Decimal Notation

3.68887 \dots

Solution steps

ln (\frac{1000}{25})

Apply log rule:

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

ln (\frac{1000}{25}) = ln (1000) - ln (25)

= ln (1000) - ln (25)

ln (1000) = 3 ln (10)

ln (25) = 2 ln (5)

= 3 ln (10) - 2 ln (5)

Popular Examples

simplify-10ln(1/(x+1))simplify

- 10 ln (\frac{1}{x + 1})

simplify ln(150/625)simplify

ln (\frac{150}{625})

simplify ln(3(3))simplify

ln (3 (3))

simplify ln(1/3 k)simplify

ln (\frac{1}{3} k)

expand log_{5}(9x^2)expand

lo g_{5} (9 x^{2})

Frequently Asked Questions (FAQ)

What is ln(1000/25) ?
The solution to ln(1000/25) is 3ln(10)-2ln(5)