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

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

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expand log_{5}((sqrt(z))/(125))

expand

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

lo g_{5} (z) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{5} (125) = 3

= lo g_{5} (z) - 3

π^{16} ln (\frac{2 + 2 9 ^{\frac{1}{2}}}{5})

4 ln (1 + \frac{9 i}{n})

\frac{1}{4} ln (\frac{1}{2})

\frac{3}{2} ln (4 x^{8}) - \frac{2}{5} ln (2 y^{20})

2 [ln (x) - ln (x + 5) - ln (x - 5)]

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