What is expand log_{4}((64)/(sqrt(x+5))) ?

The solution to expand log_{4}((64)/(sqrt(x+5))) is 3-log_{4}(sqrt(x+5))

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expand log_{4}((64)/(sqrt(x+5)))

expand

lo g_{4} (\frac{64}{x + 5})

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

Solution steps

lo g_{4} (\frac{64}{x + 5})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 5}) = lo g_{4} (64) - lo g_{4} (x + 5)

= lo g_{4} (64) - lo g_{4} (x + 5)

lo g_{4} (64) = 3

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

3 lo g_{3} (x) - lo g_{3} (\frac{1}{y})

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

3 lo g_{b} (4 x) - (lo g_{b} (5 y) + lo g_{b} (6 z))

lo g_{10} (\frac{15}{x y})

ln (e^{x}) - ln (1 + e^{x})

What is expand log_{4}((64)/(sqrt(x+5))) ?
The solution to expand log_{4}((64)/(sqrt(x+5))) is 3-log_{4}(sqrt(x+5))