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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (25) + lo g_{10} (2) - lo g_{10} (3)

lo g_{6} (\frac{5 x ^{3}}{y})

ln (\frac{4}{17})

lo g_{4} (\frac{x ^{3}}{1024 y ^{5}})

lo g_{10} (z^{8} x)

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