What is log_{5}((sqrt(3x+2))/(x+1)) ?

The solution to log_{5}((sqrt(3x+2))/(x+1)) is log_{5}(sqrt(3x+2))-log_{5}(x+1)

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simplify log_{5}((sqrt(3x+2))/(x+1))

simplify

lo g_{5} (\frac{3 x + 2}{x + 1})

lo g_{5} (3 x + 2) - lo g_{5} (x + 1)

Solution steps

lo g_{5} (\frac{3 x + 2}{x + 1})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{5} (\frac{3 x + 2}{x + 1}) = lo g_{5} (3 x + 2) - lo g_{5} (x + 1)

= lo g_{5} (3 x + 2) - lo g_{5} (x + 1)

ln (\frac{e ^{x l n (2)}}{2})

lo g_{10} (1000 y)

ln (3 e^{x})

ln (\frac{π}{4})

lo g_{10} (5) + lo g_{10} (4)

What is log_{5}((sqrt(3x+2))/(x+1)) ?
The solution to log_{5}((sqrt(3x+2))/(x+1)) is log_{5}(sqrt(3x+2))-log_{5}(x+1)