en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3pi+16ln((sqrt(2))/2)

Solution

simplify

3 π + 16 ln (\frac{2}{2})

Solution

3 π - 8 ln (2)

+1

Decimal Notation

3.87960 \dots

Solution steps

3 π + 16 ln (\frac{2}{2})

Apply log rule:

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

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

= 3 π + 16 (ln (2) - ln (2))

16 (ln (2) - ln (2)) = - 8 ln (2)

= 3 π - 8 ln (2)

Popular Examples

simplify 1/2 log_{10}(x)-3log_{10}(sin(2x))+2 simplify

\frac{1}{2} lo g_{10} (x) - 3 lo g_{10} (sin (2 x)) + 2

simplify ln(15625/2187)simplify

ln (\frac{15625}{2187})

expand log_{10}((\sqrt[3]{y^4}z)/(x^2))expand

simplify ln(9/3)simplify

ln (\frac{9}{3})

simplify log_{10}((11z)/(10))simplify

lo g_{10} (\frac{11 z}{10})

Frequently Asked Questions (FAQ)

What is 3pi+16ln((sqrt(2))/2) ?
The solution to 3pi+16ln((sqrt(2))/2) is 3pi-8ln(2)