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

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

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

simplify

ln (3 \frac{x ^{2} z}{y})

ln (3) + ln (\frac{x ^{2} z}{y})

Solution steps

ln (3 \frac{x ^{2} z}{y})

Apply log rule:

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

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

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

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

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

ln (\frac{3 y ^{2}}{y + 1})

ln (\frac{3 - x}{3 + x})

(\frac{1}{2}) ln (cos^{2} (x))

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