What is ln((x^3)/(sqrt(y))) ?

The solution to ln((x^3)/(sqrt(y))) is 3ln(x)-ln(sqrt(y))

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simplify ln((x^3)/(sqrt(y)))

simplify

ln (\frac{x ^{3}}{y})

3 ln (x) - ln (y)

Solution steps

ln (\frac{x ^{3}}{y})

Apply log rule:

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

ln (\frac{x ^{3}}{y}) = ln (x^{3}) - ln (y)

= ln (x^{3}) - ln (y)

Apply log rule:

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

ln (x^{3}) = 3 ln (x)

= 3 ln (x) - ln (y)

ln (\frac{34}{35})

2 ln (+ ln (c) - 3 ln (5 c))

ln (3 x)

ln (\frac{x}{120})

ln (\frac{326.48}{373})

What is ln((x^3)/(sqrt(y))) ?
The solution to ln((x^3)/(sqrt(y))) is 3ln(x)-ln(sqrt(y))