What is simplify-ln(t/(1-t)) ?

The solution to simplify-ln(t/(1-t)) is -ln(t)+ln(1-t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(t/(1-t))

simplify

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

- ln (t) + ln (1 - t)

Solution steps

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

Apply log rule:

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

ln (\frac{t}{1 - t}) = ln (t) - ln (1 - t)

= - (ln (t) - ln (- t + 1))

Distribute parentheses

= - (ln (t)) - (- ln (1 - t))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (t) + ln (1 - t)

- 5 ln (x) + 5 ln (y)

ln (10) - ln (4)

9 ln (x) - 6 ln (y)

\frac{1}{4} lo g_{a} (M) - 3 lo g_{a} (Q)

ln (f (- 1))

What is simplify-ln(t/(1-t)) ?
The solution to simplify-ln(t/(1-t)) is -ln(t)+ln(1-t)