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

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

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

expand

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

lo g_{4} (z) - 3

Solution steps

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

Apply log rule:

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

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

lo g_{b} (\frac{p ^{4} q ^{5}}{m ^{3} b ^{9}})

lo g_{3} (\frac{9}{x + 9})

4 lo g_{10} (x) - 2 lo g_{10} (y) + 3 lo g_{10} (z)

\frac{1}{3} (lo g_{8} (a) + 2 lo g_{8} (b))

ln (\frac{( 1.6 \cdot 1 0 ^{- 19} )}{( 6.48 \cdot 1 0 ^{- 5} )})

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