What is join 1/2 log_{2}(405) ?

The solution to join 1/2 log_{2}(405) is log_{2}(9sqrt(5))

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join 1/2 log_{2}(405)

join

\frac{1}{2} lo g_{2} (405)

lo g_{2} (95)

Decimal Notation

4.33088 \dots

Solution steps

\frac{1}{2} lo g_{2} (405)

Apply log rule:

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

\frac{1}{2} lo g_{2} (405) = lo g_{2} (40 5^{\frac{1}{2}})

= lo g_{2} (40 5^{\frac{1}{2}})

40 5^{\frac{1}{2}} = 95

= lo g_{2} (95)

- lo g_{10} (6.32 \cdot 1 0^{- 8})

2 lo g_{3} (6) - \frac{1}{2} lo g_{3} (64) + lo g_{3} (2)

ln (\frac{13}{10})

lo g_{10} (\frac{5 x}{2})

lo g_{x} (\frac{x}{y})

What is join 1/2 log_{2}(405) ?
The solution to join 1/2 log_{2}(405) is log_{2}(9sqrt(5))