What is ln(3x^2sqrt(y)) ?

The solution to ln(3x^2sqrt(y)) is ln(3)+2ln(x)+ln(sqrt(y))

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simplify ln(3x^2sqrt(y))

simplify

ln (3 x^{2} y)

ln (3) + 2 ln (x) + ln (y)

Solution steps

ln (3 x^{2} y)

Apply log rule:

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

ln (3 x^{2} y) = ln (3) + ln (x^{2}) + ln (y)

= ln (3) + 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)

= ln (3) + 2 ln (x) + ln (y)

ln (z^{2} + 5) - ln (z^{2} - 5)

ln (2 x - 1) - ln (2 x + 1)

ln (\frac{125}{3})

ln (\frac{2400}{3000})

- lo g_{10} (50 \cdot 0.1)

What is ln(3x^2sqrt(y)) ?
The solution to ln(3x^2sqrt(y)) is ln(3)+2ln(x)+ln(sqrt(y))