What is ln((x^2)/(sqrt(y))) ?

The solution to ln((x^2)/(sqrt(y))) is 2ln(x)-ln(sqrt(y))

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simplify ln((x^2)/(sqrt(y)))

simplify

ln (\frac{x ^{2}}{y})

2 ln (x) - ln (y)

Solution steps

ln (\frac{x ^{2}}{y})

Apply log rule:

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

ln (\frac{x ^{2}}{y}) = ln (x^{2}) - ln (y)

= ln (x^{2}) - ln (y)

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= 2 ln (x) - ln (y)

ln (\frac{e ^{2 y}}{c})

4 lo g_{a} (k) - 3 lo g_{a} (m)

- lo g_{10} (8.32 \cdot 1 0^{- 9})

2 ln (x e^{x})

6 ln (6) - 5 ln (5)

What is ln((x^2)/(sqrt(y))) ?
The solution to ln((x^2)/(sqrt(y))) is 2ln(x)-ln(sqrt(y))