What is log_{5}((sqrt(x))/(25)) ?

The solution to log_{5}((sqrt(x))/(25)) is log_{5}(sqrt(x))-2

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simplify log_{5}((sqrt(x))/(25))

simplify

lo g_{5} (\frac{x}{25})

lo g_{5} (x) - 2

Solution steps

lo g_{5} (\frac{x}{25})

Apply log rule:

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

lo g_{5} (\frac{x}{25}) = lo g_{5} (x) - lo g_{5} (25)

= lo g_{5} (x) - lo g_{5} (25)

lo g_{5} (25) = 2

= lo g_{5} (x) - 2

lo g_{3} (5 x)

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

ln (\frac{e}{2})

lo g_{10} (a) - lo g_{10} (b)

lo g_{10} (7) - lo g_{10} (\frac{1}{49})

What is log_{5}((sqrt(x))/(25)) ?
The solution to log_{5}((sqrt(x))/(25)) is log_{5}(sqrt(x))-2