What is join 17/2 ln(2+sqrt(21)) ?

The solution to join 17/2 ln(2+sqrt(21)) is ln((2+sqrt(21))^{17/2})

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join 17/2 ln(2+sqrt(21))

join

\frac{17}{2} ln (2 + 21)

ln ((2 + 21)^{\frac{17}{2}})

Decimal Notation

16.01762 \dots

Solution steps

\frac{17}{2} ln (2 + 21)

Apply log rule:

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

\frac{17}{2} ln (2 + 21) = ln ((2 + 21)^{\frac{17}{2}})

= ln ((2 + 21)^{\frac{17}{2}})

ln (1523712 \cdot 5^{16})

lo g_{e} (\frac{500}{123})

ln (\frac{( 2 + 3 )}{36})

\frac{1}{3} ln (\frac{10}{12})

5 ln (2) - ln (x) - ln (17)

What is join 17/2 ln(2+sqrt(21)) ?
The solution to join 17/2 ln(2+sqrt(21)) is ln((2+sqrt(21))^{17/2})