What is join 3/2 ln(4+sqrt(19)) ?

The solution to join 3/2 ln(4+sqrt(19)) is ln((4+sqrt(19))^{3/2})

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join 3/2 ln(4+sqrt(19))

join

\frac{3}{2} ln (4 + 19)

ln ((4 + 19)^{\frac{3}{2}})

Decimal Notation

3.18499 \dots

Solution steps

\frac{3}{2} ln (4 + 19)

Apply log rule:

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

\frac{3}{2} ln (4 + 19) = ln ((4 + 19)^{\frac{3}{2}})

= ln ((4 + 19)^{\frac{3}{2}})

\frac{1}{2} ln (3.73) - ln (0.26)

ln ((1 - b) (1 - d) x y^{w - 1})

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

ln (\frac{5 ^{2}}{e ^{3}})

ln (100) - ln (104)

What is join 3/2 ln(4+sqrt(19)) ?
The solution to join 3/2 ln(4+sqrt(19)) is ln((4+sqrt(19))^{3/2})