What is join 1/2 ln(1+sqrt(2)) ?

The solution to join 1/2 ln(1+sqrt(2)) is ln((1+sqrt(2))^{1/2})

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join 1/2 ln(1+sqrt(2))

join

\frac{1}{2} ln (1 + 2)

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

Decimal Notation

0.44068 \dots

Solution steps

\frac{1}{2} ln (1 + 2)

Apply log rule:

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

\frac{1}{2} ln (1 + 2) = ln ((1 + 2)^{\frac{1}{2}})

= ln ((1 + 2)^{\frac{1}{2}})

ln (\frac{1}{1 - 20})

ln (x^{2} x - 1)

lo g_{12} (\frac{n}{19})

ln (\frac{x - 0}{x - 1})

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

What is join 1/2 ln(1+sqrt(2)) ?
The solution to join 1/2 ln(1+sqrt(2)) is ln((1+sqrt(2))^{1/2})