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

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

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

simplify

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

lo g_{5} (z) - 3

Solution steps

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

Apply log rule:

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

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

lo g_{10} (\frac{7 x}{13})

\frac{2 ln ( 3 ) + 2 ln ( 5 )}{4}

lo g_{6} (36 x^{3})

lo g_{10} (x^{\frac{1}{2}} y^{\frac{1}{3}})

- lo g_{10} (6.2 \cdot 1 0^{- 8})

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