What is ln(1/(sqrt(2xy^2))) ?

The solution to ln(1/(sqrt(2xy^2))) is -ln(sqrt(2)sqrt(x)sqrt(y^2))

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simplify ln(1/(sqrt(2xy^2)))

simplify

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

- ln (2 x y^{2})

Solution steps

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

Apply log rule:

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

ln (\frac{1}{2 x y ^{2}}) = ln (1) - ln (2 x y^{2})

= ln (1) - ln (2 x y^{2})

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (2 x y^{2})

2 x y^{2} = 2 x y^{2}

= 0 - ln (2 x y^{2})

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

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

ln (r e^{x y})

lo g_{4} (x^{2} y)

ln (2222)

- \frac{8.31 \cdot 310}{9.65} \cdot ln (\frac{140}{4})

ln (\frac{3}{5}) + 7

What is ln(1/(sqrt(2xy^2))) ?
The solution to ln(1/(sqrt(2xy^2))) is -ln(sqrt(2)sqrt(x)sqrt(y^2))