What is ln((z^9)/(sqrt(xy))) ?

The solution to ln((z^9)/(sqrt(xy))) is 9ln(z)-ln(sqrt(xy))

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simplify ln((z^9)/(sqrt(xy)))

simplify

ln (\frac{z ^{9}}{x y})

9 ln (z) - ln (x y)

Solution steps

ln (\frac{z ^{9}}{x y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{z ^{9}}{x y}) = ln (z^{9}) - ln (x y)

= ln (z^{9}) - ln (x y)

Apply log rule:

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

ln (z^{9}) = 9 ln (z)

= 9 ln (z) - ln (x y)

- lo g_{10} (2.4 \cdot 1 0^{- 4})

lo g_{2} (\frac{3 r ^{7}}{z ^{3}})

ln^{2} (\frac{105}{15})

2916 ln (9) - 1620 ln (5) - 1296

99 + 70 lo g_{10} (1.5) + 50 lo g_{10} (0.37)

What is ln((z^9)/(sqrt(xy))) ?
The solution to ln((z^9)/(sqrt(xy))) is 9ln(z)-ln(sqrt(xy))