What is join 1/2 log_{10}(261) ?

The solution to join 1/2 log_{10}(261) is log_{10}(3sqrt(29))

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join 1/2 log_{10}(261)

join

\frac{1}{2} lo g_{10} (261)

lo g_{10} (329)

Decimal Notation

1.20832 \dots

Solution steps

\frac{1}{2} lo g_{10} (261)

Apply log rule:

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

\frac{1}{2} lo g_{10} (261) = lo g_{10} (26 1^{\frac{1}{2}})

= lo g_{10} (26 1^{\frac{1}{2}})

26 1^{\frac{1}{2}} = 329

= lo g_{10} (329)

\frac{1}{2} ln (3 + 3)

ln (\frac{x ^{2} + 2 x - 9}{x + 3})

ln 5 + 2 - ln 5 - 2

2 ln (3) + 2 ln (6) + 2 ln (2) + 2 ln (3) + 2 ln (x)

ln (\frac{( e ^{x} + e ^{- x} )}{2})

What is join 1/2 log_{10}(261) ?
The solution to join 1/2 log_{10}(261) is log_{10}(3sqrt(29))