en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4ln(-2)+ln(-3)

Solution

simplify

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

Solution

ln (- 48)

Solution steps

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

Apply log rule:

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

4 ln (- 2) = ln ((- 2)^{4})

= ln ((- 2)^{4}) + ln (- 3)

Apply log rule:

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

ln ((- 2)^{4}) + ln (- 3) = ln ((- 2)^{4} (- 3))

= ln ((- 2)^{4} (- 3))

(- 2)^{4} (- 3) = - 48

= ln (- 48)

Popular Examples

simplify log_{5}(1/40)simplify

lo g_{5} (\frac{1}{40})

simplify 20ln(P)-100ln(1-0.01P)simplify

20 ln (P) - 100 ln (1 - 0.01 P)

simplify ln(3243)-ln(3)simplify

ln (3243) - ln (3)

simplify ln(e^x(x+1)^2)simplify

ln (e^{x} (x + 1)^{2})

simplify e^{18}-ln(5x)simplify

e^{18} - ln (5 x)

Frequently Asked Questions (FAQ)

What is 4ln(-2)+ln(-3) ?
The solution to 4ln(-2)+ln(-3) is ln(-48)