What is log_{4}((sqrt(z))/(16)) ?

The solution to log_{4}((sqrt(z))/(16)) is log_{4}(sqrt(z))-2

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simplify log_{4}((sqrt(z))/(16))

simplify

lo g_{4} (\frac{z}{16})

lo g_{4} (z) - 2

Solution steps

lo g_{4} (\frac{z}{16})

Apply log rule:

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

lo g_{4} (\frac{z}{16}) = lo g_{4} (z) - lo g_{4} (16)

= lo g_{4} (z) - lo g_{4} (16)

lo g_{4} (16) = 2

= lo g_{4} (z) - 2

lo g_{8} (64 x^{5})

- lo g_{10} (1.7 \cdot 1 0^{- 5})

- ln (\frac{5}{6})

ln (y \frac{y}{4 - y})

lo g_{5} (7) + lo g_{5} (x) - 3 lo g_{4} (y)

What is log_{4}((sqrt(z))/(16)) ?
The solution to log_{4}((sqrt(z))/(16)) is log_{4}(sqrt(z))-2