What is ln(x^{13}sqrt((y^8)/(z^{17))}) ?

The solution to ln(x^{13}sqrt((y^8)/(z^{17))}) is 13ln(x)+ln(sqrt((y^8)/(z^{17))})

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simplify ln(x^{13}sqrt((y^8)/(z^{17))})

simplify

ln (x^{13} \frac{y ^{8}}{z ^{17}})

13 ln (x) + ln (\frac{y ^{8}}{z ^{17}})

Solution steps

ln (x^{13} \frac{y ^{8}}{z ^{17}})

Apply log rule:

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

ln (x^{13} \frac{y ^{8}}{z ^{17}}) = ln (x^{13}) + ln (\frac{y ^{8}}{z ^{17}})

= ln (x^{13}) + ln (\frac{y ^{8}}{z ^{17}})

Apply log rule:

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

ln (x^{13}) = 13 ln (x)

= 13 ln (x) + ln (\frac{y ^{8}}{z ^{17}})

ln (\frac{11}{41})

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

- (0.3 \cdot 8.3144) \cdot ln (\frac{10}{5})

3 ln (\frac{3.5}{3})

\frac{1}{\frac{6}{7}} \cdot ln (\frac{1}{1 - \frac{6}{7}})

What is ln(x^{13}sqrt((y^8)/(z^{17))}) ?
The solution to ln(x^{13}sqrt((y^8)/(z^{17))}) is 13ln(x)+ln(sqrt((y^8)/(z^{17))})