en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(15/8)

Solution

simplify

ln (\frac{15}{8})

Solution

ln (15) - 3 ln (2)

+1

Decimal Notation

0.62860 \dots

Solution steps

ln (\frac{15}{8})

Apply log rule:

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

ln (\frac{15}{8}) = ln (15) - ln (8)

= ln (15) - ln (8)

ln (8) = 3 ln (2)

= ln (15) - 3 ln (2)

Popular Examples

simplify ln((43-263)/(21-263))simplify

ln (\frac{43 - 263}{21 - 263})

simplify ln((393.62)/(390.66))-1 simplify

ln (\frac{393.62}{390.66}) - 1

simplify ln((10.41)/(3.75))simplify

ln (\frac{10.41}{3.75})

simplify 1/(2sqrt(2))ln((sqrt(2)-1)/(sqrt(2)+1))simplify

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

simplify y/(x(ln(x)-ln(y)-1))simplify

\frac{y}{x ( ln ( x ) - ln ( y ) - 1 )}

Frequently Asked Questions (FAQ)

What is ln(15/8) ?
The solution to ln(15/8) is ln(15)-3ln(2)