en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((pi^7)/8)

Solution

simplify

ln (\frac{π ^{7}}{8})

Solution

7 ln (π) - 3 ln (2)

+1

Decimal Notation

5.93366 \dots

Solution steps

ln (\frac{π ^{7}}{8})

Apply log rule:

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

ln (\frac{π ^{7}}{8}) = ln (π^{7}) - ln (8)

= ln (π^{7}) - ln (8)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (π^{7}) = 7 ln (π)

= 7 ln (π) - ln (8)

ln (8) = 3 ln (2)

= 7 ln (π) - 3 ln (2)

Popular Examples

simplify log_{10}(x+5)+2log_{10}(x)simplify

lo g_{10} (x + 5) + 2 lo g_{10} (x)

simplify ln(2e^{-y})simplify

ln (2 e^{- y})

simplify ln((-x)/e)simplify

ln (\frac{- x}{e})

simplify log_{10}(d)+8log_{10}(q)simplify

lo g_{10} (d) + 8 lo g_{10} (q)

simplify log_{2}((32)/(sqrt(x-1)))simplify

lo g_{2} (\frac{32}{x - 1})

Frequently Asked Questions (FAQ)

What is ln((pi^7)/8) ?
The solution to ln((pi^7)/8) is 7ln(pi)-3ln(2)