en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 ln(9)-ln(2)

Solution

simplify

\frac{1}{2} ln (9) - ln (2)

Solution

ln (\frac{3}{2})

+1

Decimal Notation

0.40546 \dots

Solution steps

\frac{1}{2} ln (9) - ln (2)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} ln (9) = ln (9^{\frac{1}{2}})

= ln (9^{\frac{1}{2}}) - ln (2)

Apply log rule:

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

ln (9^{\frac{1}{2}}) - ln (2) = ln (\frac{9 ^{\frac{1}{2}}}{2})

= ln (\frac{9 ^{\frac{1}{2}}}{2})

9^{\frac{1}{2}} = 3

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

Popular Examples

simplify ln(20(17-7i))simplify

ln (20 (17 - 7 i))

simplify ln(x^3)-5ln(x)simplify

ln (x^{3}) - 5 ln (x)

simplify ln((x^2-4)/(x-1))simplify

ln (\frac{x ^{2} - 4}{x - 1})

simplify ln((1-p)^{xi-1}p)simplify

ln ((1 - p)^{x i - 1} p)

simplify ln(((2))/(-0.273))simplify

ln (\frac{( 2 )}{- 0.273})

Frequently Asked Questions (FAQ)

What is 1/2 ln(9)-ln(2) ?
The solution to 1/2 ln(9)-ln(2) is ln(3/2)