What is join 1/2 log_{10}(11) ?

The solution to join 1/2 log_{10}(11) is log_{10}(11^{1/2})

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join 1/2 log_{10}(11)

join

\frac{1}{2} lo g_{10} (11)

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

Decimal Notation

0.52069 \dots

Solution steps

\frac{1}{2} lo g_{10} (11)

Apply log rule:

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

\frac{1}{2} lo g_{10} (11) = lo g_{10} (1 1^{\frac{1}{2}})

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

ln (\frac{( x + 5 ) ^{2}}{( x - 9 ) ^{2} ( x ^{2} - 15 ) ^{5}})

ln (sec (x) cos (y))

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

- ln (0.01 1 - 0.4 6^{2})

\frac{1}{2} ln 1^{2} + 1 - \frac{1}{2} ln - 2^{2} + 1

What is join 1/2 log_{10}(11) ?
The solution to join 1/2 log_{10}(11) is log_{10}(11^{1/2})