en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(3)+ln(4)-ln(6)

Solution

simplify

ln (3) + ln (4) - ln (6)

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (3) + ln (4) - ln (6)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (3) + ln (4) = ln (3 \cdot 4)

= ln (3 \cdot 4) - ln (6)

Multiply the numbers:

3 \cdot 4 = 12

= ln (12) - ln (6)

Apply log rule:

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

ln (12) - ln (6) = ln (\frac{12}{6})

= ln (\frac{12}{6})

Divide the numbers:

\frac{12}{6} = 2

= ln (2)

Popular Examples

simplify-log_{10}(3.49*10^{-3})simplify

- lo g_{10} (3.49 \cdot 1 0^{- 3})

simplify ln(2*x)-x^2+5 simplify

ln (2 \cdot x) - x^{2} + 5

simplify ln(66/51)*5 simplify

ln (\frac{66}{51}) \cdot 5

simplify ln(r)+ln(t)+ln(r)simplify

ln (r) + ln (t) + ln (r)

simplify ln(1.05-0.2v)-ln(-0.55)simplify

ln (1.05 - 0.2 v) - ln (- 0.55)

Frequently Asked Questions (FAQ)

What is ln(3)+ln(4)-ln(6) ?
The solution to ln(3)+ln(4)-ln(6) is ln(2)