What is simplify-3ln(y)+ln((3x+3y)/y) ?

The solution to simplify-3ln(y)+ln((3x+3y)/y) is ln((3x+3y)/(y^4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-3ln(y)+ln((3x+3y)/y)

simplify

- 3 ln (y) + ln (\frac{3 x + 3 y}{y})

ln (\frac{3 x + 3 y}{y ^{4}})

Solution steps

- 3 ln (y) + ln (\frac{3 x + 3 y}{y})

Apply log rule:

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

3 ln (y) = ln (y^{3})

= - ln (y^{3}) + ln (\frac{3 y + 3 x}{y})

Apply log rule:

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

ln (\frac{3 x + 3 y}{y}) - ln (y^{3}) = ln (\frac{\frac{3 y + 3 x}{y}}{y ^{3}})

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

Simplify

\frac{\frac{3 x + 3 y}{y}}{y ^{3}} : \frac{3 x + 3 y}{y ^{4}}

= ln (\frac{3 x + 3 y}{y ^{4}})

ln (\frac{s + 2}{s + 3})

ln (\frac{2 e ^{5}}{1 + e ^{5}})

lo g_{10} (\frac{1}{850})

ln (\frac{88}{90})

ln (\frac{6}{5}) + 10

What is simplify-3ln(y)+ln((3x+3y)/y) ?
The solution to simplify-3ln(y)+ln((3x+3y)/y) is ln((3x+3y)/(y^4))