What is log_{5}((sqrt(y))/(125)) ?

The solution to log_{5}((sqrt(y))/(125)) is log_{5}(sqrt(y))-3

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simplify log_{5}((sqrt(y))/(125))

simplify

lo g_{5} (\frac{y}{125})

lo g_{5} (y) - 3

Solution steps

lo g_{5} (\frac{y}{125})

Apply log rule:

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

lo g_{5} (\frac{y}{125}) = lo g_{5} (y) - lo g_{5} (125)

= lo g_{5} (y) - lo g_{5} (125)

lo g_{5} (125) = 3

= lo g_{5} (y) - 3

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

lo g_{10} (\frac{27}{15 z})

lo g_{10} (\frac{y}{10})

lo g_{10} (16 a b^{3})

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

What is log_{5}((sqrt(y))/(125)) ?
The solution to log_{5}((sqrt(y))/(125)) is log_{5}(sqrt(y))-3