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

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

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

expand

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

lo g_{5} (x) - 2

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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_{10} (x^{5}) y^{3}

lo g_{3} (\frac{p ^{2}}{u w})

ln (\frac{a ^{- 2}}{b ^{- 4} c ^{5}})

ln (12) - ln (2)

2 lo g_{3} (u) - lo g_{3} (v)

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