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

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

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

simplify

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

lo g_{4} (x) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (64) = 3

= lo g_{4} (x) - 3

2 lo g_{10} (9) - 5 lo g_{10} (3) + lo g_{10} (4)

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

lo g_{10} (\frac{1}{x})

lo g_{6} (6 x)

2 lo g_{5} (a) + 4 lo g_{5} (b)

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