What is ln(x^{12}sqrt(2-x)) ?

The solution to ln(x^{12}sqrt(2-x)) is 12ln(x)+ln(sqrt(2-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^{12}sqrt(2-x))

simplify

ln (x^{12} 2 - x)

12 ln (x) + ln (2 - x)

Solution steps

ln (x^{12} 2 - x)

Apply log rule:

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

ln (x^{12} 2 - x) = ln (x^{12}) + ln (2 - x)

= ln (x^{12}) + ln (- x + 2)

Apply log rule:

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

ln (x^{12}) = 12 ln (x)

= 12 ln (x) + ln (2 - x)

lo g_{5} (3) - lo g_{5} (4)

ln (y) - 2 ln (x)

ln (\frac{e ^{2}}{4})

lo g_{a} (\frac{x ^{3}}{y z ^{4}})

What is ln(x^{12}sqrt(2-x)) ?
The solution to ln(x^{12}sqrt(2-x)) is 12ln(x)+ln(sqrt(2-x))