en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(33)-ln(3)

Solution

simplify

ln (33) - ln (3)

Solution

ln (11)

+1

Decimal Notation

2.39789 \dots

Solution steps

ln (33) - ln (3)

Apply log rule:

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

ln (33) - ln (3) = ln (\frac{33}{3})

= ln (\frac{33}{3})

Divide the numbers:

\frac{33}{3} = 11

= ln (11)

Popular Examples

simplify ln((4+sqrt(20))/2)simplify

ln (\frac{4 + 20}{2})

simplify ln((x^2+5x+6)/(x+3))simplify

ln (\frac{x ^{2} + 5 x + 6}{x + 3})

simplify ln(48)-ln(15)-ln(7)+ln(4)simplify

ln (48) - ln (15) - ln (7) + ln (4)

simplify ln((1.36)/(12))simplify

ln (\frac{1.36}{12})

simplify ln(2(e^x+1)^2)+ln(c)simplify

ln (2 (e^{x} + 1)^{2}) + ln (c)

Frequently Asked Questions (FAQ)

What is ln(33)-ln(3) ?
The solution to ln(33)-ln(3) is ln(11)