en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(3)-ln(1/2)

Solution

simplify

ln (3) - ln (\frac{1}{2})

Solution

ln (6)

+1

Decimal Notation

1.79175 \dots

Solution steps

ln (3) - ln (\frac{1}{2})

Apply log rule:

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

ln (3) - ln (\frac{1}{2}) = ln (\frac{3}{\frac{1}{2}})

= ln (\frac{3}{\frac{1}{2}})

\frac{3}{\frac{1}{2}} = 6

= ln (6)

Popular Examples

simplify log_{10}(x)+log_{10}(1/(x^2))simplify

lo g_{10} (x) + lo g_{10} (\frac{1}{x ^{2}})

simplify ln(((e^{xln(3)}))/3)simplify

ln (\frac{( e ^{x l n (3)} )}{3})

simplify log_{3}((64)/(sqrt(x+8)))simplify

lo g_{3} (\frac{64}{x + 8})

simplify 2(ln(5/2)-ln(3/2))simplify

2 (ln (\frac{5}{2}) - ln (\frac{3}{2}))

simplify 7/2 ln(x)+2ln(y)simplify

\frac{7}{2} ln (x) + 2 ln (y)

Frequently Asked Questions (FAQ)

What is ln(3)-ln(1/2) ?
The solution to ln(3)-ln(1/2) is ln(6)