What is ln(x^{10}sqrt(3-x)) ?

The solution to ln(x^{10}sqrt(3-x)) is 10ln(x)+ln(sqrt(3-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^{10}sqrt(3-x))

simplify

ln (x^{10} 3 - x)

10 ln (x) + ln (3 - x)

Solution steps

ln (x^{10} 3 - x)

Apply log rule:

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

ln (x^{10} 3 - x) = ln (x^{10}) + ln (3 - x)

= ln (x^{10}) + ln (- x + 3)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{10}) = 10 ln (x)

= 10 ln (x) + ln (3 - x)

4 ln (w) - \frac{1}{5} ln (p)

ln (\frac{e ^{2}}{8})

lo g_{3} (u \cdot v \cdot w^{4})

lo g_{6} (x^{8} \frac{y}{z ^{3}})

4 lo g_{10} (5) + 3 lo g_{10} (x)

What is ln(x^{10}sqrt(3-x)) ?
The solution to ln(x^{10}sqrt(3-x)) is 10ln(x)+ln(sqrt(3-x))