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)+pi/6

Solution

simplify

ln (\frac{1}{2}) + \frac{π}{6}

Solution

\frac{π}{6} - ln (2)

+1

Decimal Notation

- 0.16954 \dots

Solution steps

ln (\frac{1}{2}) + \frac{π}{6}

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)

= ln (1) - ln (2) + \frac{π}{6}

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (2) + \frac{π}{6}

0 - ln (2) + \frac{π}{6} = - ln (2) + \frac{π}{6}

= \frac{π}{6} - ln (2)

Popular Examples

simplify 3ln(a)+2ln(b)simplify

3 ln (a) + 2 ln (b)

simplify ln((10^7)/(10^6))simplify

ln (\frac{1 0 ^{7}}{1 0 ^{6}})

simplify 6ln|x+1|+3ln|x-3|simplify

6 ln ∣ x + 1 ∣ + 3 ln ∣ x - 3 ∣

simplify ln(6*10^6)simplify

ln (6 \cdot 1 0^{6})

simplify ln(a)-5ln(b)+3ln(c)simplify

ln (a) - 5 ln (b) + 3 ln (c)

Frequently Asked Questions (FAQ)

What is ln(1/2)+pi/6 ?
The solution to ln(1/2)+pi/6 is pi/6-ln(2)