What is log_{4}((sqrt(z))/(64)) ?

The solution to log_{4}((sqrt(z))/(64)) is log_{4}(sqrt(z))-3

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simplify log_{4}((sqrt(z))/(64))

simplify

lo g_{4} (\frac{z}{64})

lo g_{4} (z) - 3

Solution steps

lo g_{4} (\frac{z}{64})

Apply log rule:

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

lo g_{4} (\frac{z}{64}) = lo g_{4} (z) - lo g_{4} (64)

= lo g_{4} (z) - lo g_{4} (64)

lo g_{4} (64) = 3

= lo g_{4} (z) - 3

ln (x^{8} 2 - x)

lo g_{8} (\frac{z}{14})

5 lo g_{10} (x + 3) - lo g_{10} (x)

lo g_{10} (p^{20} \cdot q^{30} \cdot (1 - p - q)^{50})

lo g_{10} (\frac{m}{n})

What is log_{4}((sqrt(z))/(64)) ?
The solution to log_{4}((sqrt(z))/(64)) is log_{4}(sqrt(z))-3