What is expand ln((6x)/(y^2)) ?

The solution to expand ln((6x)/(y^2)) is ln(6)+ln(x)-2ln(y)

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expand ln((6x)/(y^2))

expand

ln (\frac{6 x}{y ^{2}})

ln (6) + ln (x) - 2 ln (y)

Solution steps

ln (\frac{6 x}{y ^{2}})

Apply log rule:

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

ln (\frac{6 x}{y ^{2}}) = ln (6 x) - ln (y^{2})

= ln (6 x) - ln (y^{2})

Apply log rule:

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

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

= ln (6 x) - 2 ln (y)

Apply log rule:

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

ln (6 x) = ln (6) + ln (x)

= ln (6) + ln (x) - 2 ln (y)

ln (5 e^{- 2 x})

lo g_{10} (13) 13

ln (x (1 + x)^{5})

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

ln (x) + ln (y^{- 1})

What is expand ln((6x)/(y^2)) ?
The solution to expand ln((6x)/(y^2)) is ln(6)+ln(x)-2ln(y)