en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/2)*20

Solution

simplify

ln (\frac{1}{2}) \cdot 20

Solution

- 20 ln (2)

+1

Decimal Notation

- 13.86294 \dots

Solution steps

ln (\frac{1}{2}) \cdot 20

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= 20 (ln (1) - ln (2))

Apply log rule:

lo g_{a} (1) = 0

= 20 (- ln (2) + 0)

0 - ln (2) = - ln (2)

= 20 (- ln (2))

Remove parentheses:

(- a) = - a

= - ln (2) \cdot 20

Popular Examples

simplify ln(8235744/8831079)simplify

ln (\frac{8235744}{8831079})

simplify ln(x)-ln(sqrt(x))simplify

ln (x) - ln (x)

simplify ln(2y-1)-ln(y-1)simplify

ln (2 y - 1) - ln (y - 1)

simplify ln(6.1587*10^{23})simplify

ln (6.1587 \cdot 1 0^{23})

simplify (ln(45)-ln(2))/8 simplify

\frac{ln ( 45 ) - ln ( 2 )}{8}

Frequently Asked Questions (FAQ)

What is ln(1/2)*20 ?
The solution to ln(1/2)*20 is -20ln(2)