What is 2ln(x)+1/2 ln(x+4) ?

The solution to 2ln(x)+1/2 ln(x+4) is ln(x^2(x+4)^{1/2})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(x)+1/2 ln(x+4)

simplify

2 ln (x) + \frac{1}{2} ln (x + 4)

ln (x^{2} (x + 4)^{\frac{1}{2}})

Solution steps

2 ln (x) + \frac{1}{2} ln (x + 4)

Apply log rule:

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

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

= ln (x^{2}) + \frac{1}{2} ln (x + 4)

Apply log rule:

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

\frac{1}{2} ln (x + 4) = ln ((x + 4)^{\frac{1}{2}})

= ln (x^{2}) + ln ((x + 4)^{\frac{1}{2}})

Apply log rule:

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

ln (x^{2}) + ln ((x + 4)^{\frac{1}{2}}) = ln (x^{2} (x + 4)^{\frac{1}{2}})

= ln (x^{2} (x + 4)^{\frac{1}{2}})

ln (7 \cdot e^{x})

4 [ln (x) - ln (x + 3) - ln (x - 3)]

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

lo g_{x} (2 \cdot 7)

ln (\frac{z ^{3}}{x y})

What is 2ln(x)+1/2 ln(x+4) ?
The solution to 2ln(x)+1/2 ln(x+4) is ln(x^2(x+4)^{1/2})