What is log_{5}((x+y)*z) ?

The solution to log_{5}((x+y)*z) is log_{5}(x+y)+log_{5}(z)

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simplify log_{5}((x+y)*z)

simplify

lo g_{5} ((x + y) \cdot z)

lo g_{5} (x + y) + lo g_{5} (z)

Solution steps

lo g_{5} ((x + y) z)

Apply log rule:

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

lo g_{5} ((x + y) z) = lo g_{5} (x + y) + lo g_{5} (z)

= lo g_{5} (x + y) + lo g_{5} (z)

213 - \frac{3}{2} ln (4 + 13) - 1 + \frac{3}{2} ln (3)

ln (\frac{4 0 ^{2}}{1 0 ^{2}})

ln (\frac{293.15}{373.15})

lo g_{e} (\frac{x}{2})

lo g_{2} (2 x y^{2})

What is log_{5}((x+y)*z) ?
The solution to log_{5}((x+y)*z) is log_{5}(x+y)+log_{5}(z)