What is log_{5}(x)+log_{5}(10)+log_{5}(y) ?

The solution to log_{5}(x)+log_{5}(10)+log_{5}(y) is log_{5}(2xy)+1

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simplify log_{5}(x)+log_{5}(10)+log_{5}(y)

simplify

lo g_{5} (x) + lo g_{5} (10) + lo g_{5} (y)

lo g_{5} (2 x y) + 1

Solution steps

lo g_{5} (x) + lo g_{5} (10) + lo g_{5} (y)

lo g_{5} (10) = 1 + lo g_{5} (2)

= lo g_{5} (x) + 1 + lo g_{5} (2) + lo g_{5} (y)

Simplify

lo g_{5} (x) + lo g_{5} (2) + lo g_{5} (y) : lo g_{5} (x \cdot 2 y)

= lo g_{5} (x \cdot 2 y) + 1

= lo g_{5} (2 x y) + 1

ln (a) + 2 ln (a + b) - 4 ln (ab)

lo g_{9} (4) + lo g_{9} (5)

lo g_{3} (y) + lo g_{3} (y + 4)

lo g_{9} (x y)

\frac{1}{3} (lo g_{4} (x) - lo g_{4} (y))

What is log_{5}(x)+log_{5}(10)+log_{5}(y) ?
The solution to log_{5}(x)+log_{5}(10)+log_{5}(y) is log_{5}(2xy)+1