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

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

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

simplify

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

lo g_{5} (c) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{5} (125) = 3

= lo g_{5} (c) - 3

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

lo g_{10} (\frac{z y}{x ^{2}})

ln (\frac{125}{27})

ln (\frac{e ^{3}}{3})

ln (\frac{e ^{3}}{4})

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