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

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

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

simplify

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

lo g_{5} (f) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{5} (125) = 3

= lo g_{5} (f) - 3

lo g_{10} (10 x^{5})

ln (x x^{2} + 5)

lo g_{10} (\frac{1}{x ^{n}})

2 lo g_{10} (x) + 5 lo g_{10} (x + 3)

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