en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1200/400)

Solution

simplify

ln (\frac{1200}{400})

Solution

ln (1200) - 2 ln (20)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (\frac{1200}{400})

Apply log rule:

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

ln (\frac{1200}{400}) = ln (1200) - ln (400)

= ln (1200) - ln (400)

ln (400) = 2 ln (20)

= ln (1200) - 2 ln (20)

Popular Examples

simplify ln(2/(y-2))simplify

ln (\frac{2}{y - 2})

simplify ln((50*12)/(70.5*8.9))simplify

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9})

simplify ln((573.15x)/(293.15x))simplify

ln (\frac{573.15 x}{293.15 x})

expand log_{10}(y^9x)expand

lo g_{10} (y^{9} x)

simplify-1/100*ln((0.01)/(0.184))simplify

- \frac{1}{100} \cdot ln (\frac{0.01}{0.184})

Frequently Asked Questions (FAQ)

What is ln(1200/400) ?
The solution to ln(1200/400) is ln(1200)-2ln(20)