What is ln(x^{11}sqrt(4-x)) ?

The solution to ln(x^{11}sqrt(4-x)) is 11ln(x)+ln(sqrt(4-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^{11}sqrt(4-x))

simplify

ln (x^{11} 4 - x)

11 ln (x) + ln (4 - x)

Solution steps

ln (x^{11} 4 - x)

Apply log rule:

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

ln (x^{11} 4 - x) = ln (x^{11}) + ln (4 - x)

= ln (x^{11}) + ln (- x + 4)

Apply log rule:

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

ln (x^{11}) = 11 ln (x)

= 11 ln (x) + ln (4 - x)

\frac{( ln ( x + h ) - ln ( x ) )}{h}

lo g_{b} (\frac{3}{4})

lo g_{10} (\frac{85347 \cdot 15274}{125386})

lo g_{3} (\frac{x}{27})

lo g_{10} (0.1) + lo g_{10} (0.01)

What is ln(x^{11}sqrt(4-x)) ?
The solution to ln(x^{11}sqrt(4-x)) is 11ln(x)+ln(sqrt(4-x))