What is log_{a}(sqrt(3.15))+log_{a}(sqrt(2.45)) ?

The solution to log_{a}(sqrt(3.15))+log_{a}(sqrt(2.45)) is log_{a}((21sqrt(7))/(20))

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simplify log_{a}(sqrt(3.15))+log_{a}(sqrt(2.45))

simplify

lo g_{a} (3.15) + lo g_{a} (2.45)

lo g_{a} (\frac{21 7}{20})

Solution steps

lo g_{a} (3.15) + lo g_{a} (2.45)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{a} (3.15) + lo g_{a} (2.45) = lo g_{a} (3.15 2.45)

= lo g_{a} (3.15 2.45)

3.15 2.45 = \frac{21 7}{20}

= lo g_{a} (\frac{21 7}{20})

\frac{1}{2} ln (1 + \frac{2 y}{x})

ln (\frac{- 130.42}{- 0.00222877})

ln (x (60 - y))

ln (2 \cdot 3^{2 + 2 x})

What is log_{a}(sqrt(3.15))+log_{a}(sqrt(2.45)) ?
The solution to log_{a}(sqrt(3.15))+log_{a}(sqrt(2.45)) is log_{a}((21sqrt(7))/(20))