What is simplify-1ln(-4)-(-1)ln(-5) ?

The solution to simplify-1ln(-4)-(-1)ln(-5) is -ln(4/5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-1ln(-4)-(-1)ln(-5)

simplify

- 1 ln (- 4) - (- 1) ln (- 5)

- ln (\frac{4}{5})

Decimal

0.22314 \dots

Solution steps

- 1 \cdot ln (- 4) - (- 1) ln (- 5)

Apply log rule:

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

1 \cdot ln (- 4) = ln ((- 4)^{1})

= - ln ((- 4)^{1}) - (- 1) ln (- 5)

Apply log rule:

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

(- 1) ln (- 5) = ln ((- 5)^{(- 1)})

= - ln ((- 4)^{1}) - ln ((- 5)^{(- 1)})

Rewrite

- ln ((- 4)^{1}) - ln ((- 5)^{(- 1)})

- (ln ((- 4)^{1}) + ln ((- 5)^{(- 1)}))

= - (ln ((- 4)^{1}) + ln ((- 5)^{(- 1)}))

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln ((- 4)^{1}) + ln ((- 5)^{(- 1)}) = ln ((- 5)^{- 1} (- 4)^{1})

= - ln ((- 5)^{- 1} (- 4)^{1})

(- 4)^{1} (- 5)^{(- 1)} = \frac{4}{5}

= - ln (\frac{4}{5})

2 ln (3 (4) - 2) - ln (2)

ln (\frac{3.64}{23}) + \frac{2 ln ( 23 )}{23}

lo g_{2} (x - 4) + 3 lo g_{2} (x)

25 ln (\frac{6}{168})

- lo g_{10} (2.98 \cdot 1 0^{- 5})

What is simplify-1ln(-4)-(-1)ln(-5) ?
The solution to simplify-1ln(-4)-(-1)ln(-5) is -ln(4/5)