What is 1/2 ln((y-3)/(x+2)) ?

The solution to 1/2 ln((y-3)/(x+2)) is 1/2 (ln(y-3)-ln(x+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 ln((y-3)/(x+2))

simplify

\frac{1}{2} ln (\frac{y - 3}{x + 2})

\frac{1}{2} (ln (y - 3) - ln (x + 2))

Solution steps

\frac{1}{2} ln (\frac{y - 3}{x + 2})

Apply log rule:

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

ln (\frac{y - 3}{x + 2}) = ln (y - 3) - ln (x + 2)

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

4 ln (2) - 4 ln (2 x)

ln (3) + ln (2) ln (6)

4 ln (x) + 2 ln (y) - 10

20 \cdot lo g_{10} (\frac{10}{2 \cdot 1 0 ^{- 5}})

ln (2 e^{- 3 x^{2}})

What is 1/2 ln((y-3)/(x+2)) ?
The solution to 1/2 ln((y-3)/(x+2)) is 1/2 (ln(y-3)-ln(x+2))