What is join 1/4 ln(10+sqrt(101)) ?

The solution to join 1/4 ln(10+sqrt(101)) is ln((10+sqrt(101))^{1/4})

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join 1/4 ln(10+sqrt(101))

join

\frac{1}{4} ln (10 + 101)

ln ((10 + 101)^{\frac{1}{4}})

Decimal Notation

0.74955 \dots

Solution steps

\frac{1}{4} ln (10 + 101)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{4} ln (10 + 101) = ln ((10 + 101)^{\frac{1}{4}})

= ln ((10 + 101)^{\frac{1}{4}})

ln (\frac{1}{2 π} \cdot e^{- \frac{( x - y ) ^{2}}{2}})

ln_{e} (2) 2

\frac{1}{4} ln (2) - \frac{1}{8} ln (\frac{4}{3})

- \frac{π ^{2}}{2} ln (2)

ln (6 + x^{2}) + 2 ln (x) - ln (x + 1)

What is join 1/4 ln(10+sqrt(101)) ?
The solution to join 1/4 ln(10+sqrt(101)) is ln((10+sqrt(101))^{1/4})