en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)+2ln(y)+ln(8-z)

Solution

simplify

ln (x) + 2 ln (y) + ln (8 - z)

Solution

ln (x y^{2} (8 - z))

Solution steps

ln (x) + 2 ln (y) + ln (8 - z)

Apply log rule:

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

2 ln (y) = ln (y^{2})

= ln (x) + ln (y^{2}) + ln (- z + 8)

Apply log rule:

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

ln (x) + ln (y^{2}) = ln (x y^{2})

= ln (x y^{2}) + ln (8 - z)

Apply log rule:

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

ln (x y^{2}) + ln (8 - z) = ln (x y^{2} (- z + 8))

= ln (x y^{2} (8 - z))

Popular Examples

simplify-ln(1.8*10^{-5})simplify

- ln (1.8 \cdot 1 0^{- 5})

simplify 4ln(5x)simplify

4 ln (5 x)

simplify ln(1/140)simplify

ln (\frac{1}{140})

simplify 4ln(x)-ln(v^4+1)simplify

4 ln (x) - ln (v^{4} + 1)

simplify 2*ln(-2)-2*ln(2)simplify

2 \cdot ln (- 2) - 2 \cdot ln (2)

Frequently Asked Questions (FAQ)

What is ln(x)+2ln(y)+ln(8-z) ?
The solution to ln(x)+2ln(y)+ln(8-z) is ln(xy^2(8-z))