What is log_{4}((64)/(sqrt(x+3))) ?

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

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simplify log_{4}((64)/(sqrt(x+3)))

simplify

lo g_{4} (\frac{64}{x + 3})

3 - lo g_{4} (x + 3)

Solution steps

lo g_{4} (\frac{64}{x + 3})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 3}) = lo g_{4} (64) - lo g_{4} (x + 3)

= lo g_{4} (64) - lo g_{4} (x + 3)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 3)

ln (\frac{x ^{2}}{4 x + 1})

lo g_{10} (16 x^{2}) + 2 lo g_{10} (\frac{1}{x})

lo g_{10} (\frac{1}{x - 2})

lo g_{b} (\frac{7}{9})

lo g_{10} (8) + lo g_{10} (x)

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