What is log_{5}(3x+1)+log_{5}(x) ?

The solution to log_{5}(3x+1)+log_{5}(x) is log_{5}((3x+1)x)

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simplify log_{5}(3x+1)+log_{5}(x)

simplify

lo g_{5} (3 x + 1) + lo g_{5} (x)

lo g_{5} ((3 x + 1) x)

Solution steps

lo g_{5} (3 x + 1) + lo g_{5} (x)

Apply log rule:

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

lo g_{5} (3 x + 1) + lo g_{5} (x) = lo g_{5} ((3 x + 1) x)

= lo g_{5} ((3 x + 1) x)

lo g_{10} (8) + lo g_{10} (3)

lo g_{3} (12) + lo g_{3} (7) + 4 lo g_{3} (5)

- lo g_{10} (4 \cdot 1 0^{- 8})

lo g_{10} (5) - lo g_{10} (2)

lo g_{10} (\frac{3 a ^{2} b c}{2})

What is log_{5}(3x+1)+log_{5}(x) ?
The solution to log_{5}(3x+1)+log_{5}(x) is log_{5}((3x+1)x)