What is ln(xsqrt(y^2+z^2)) ?

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

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simplify ln(xsqrt(y^2+z^2))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{- 1}{3 x - 2})

lo g_{a} (m \frac{1}{3} n^{4})

ln (\frac{2 - y}{1 - y})

lo g_{10} (x^{3} y^{5} z)

lo g_{10} ((lo g_{10} (x))^{5})

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