What is ln(x^{14}sqrt((y^{17))/(z^{13)}}) ?

The solution to ln(x^{14}sqrt((y^{17))/(z^{13)}}) is 14ln(x)+ln(sqrt((y^{17))/(z^{13)}})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^{14}sqrt((y^{17))/(z^{13)}})

simplify

ln (x^{14} \frac{y ^{17}}{z ^{13}})

14 ln (x) + ln (\frac{y ^{17}}{z ^{13}})

Solution steps

ln (x^{14} \frac{y ^{17}}{z ^{13}})

Apply log rule:

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

ln (x^{14} \frac{y ^{17}}{z ^{13}}) = ln (x^{14}) + ln (\frac{y ^{17}}{z ^{13}})

= ln (x^{14}) + ln (\frac{y ^{17}}{z ^{13}})

Apply log rule:

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

ln (x^{14}) = 14 ln (x)

= 14 ln (x) + ln (\frac{y ^{17}}{z ^{13}})

ln (\frac{e ^{3}}{15})

lo g_{9} (x^{2} + 10 x + 24) - lo g_{9} (x + 4)

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

3 \cdot lo g_{10} (2) + lo g_{10} (3)

ln (2 ln (2))

What is ln(x^{14}sqrt((y^{17))/(z^{13)}}) ?
The solution to ln(x^{14}sqrt((y^{17))/(z^{13)}}) is 14ln(x)+ln(sqrt((y^{17))/(z^{13)}})