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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

= \frac{1}{2} [3 ln (e) + ln (\frac{x}{y})]

3 ln (e) = 3

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

- lo g_{10} (1.8 (1 0^{- 5}))

ln ((sin (x))^{- l n (x)})

ln ∣ x ∣ - 2 ln ∣ x + 1 ∣ + ln ∣ x - 2 ∣

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

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