What is log_{4}((64)/(sqrt(x+7))) ?

The solution to log_{4}((64)/(sqrt(x+7))) is 3-log_{4}(sqrt(x+7))

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simplify log_{4}((64)/(sqrt(x+7)))

simplify

lo g_{4} (\frac{64}{x + 7})

3 - lo g_{4} (x + 7)

Solution steps

lo g_{4} (\frac{64}{x + 7})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 7}) = lo g_{4} (64) - lo g_{4} (x + 7)

= lo g_{4} (64) - lo g_{4} (x + 7)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 7)

3 lo g_{6} (u) + 5 lo g_{6} (v)

ln (\frac{- 1}{1})

lo g_{10} (4) + lo g_{10} (x)

ln (\frac{125}{8})

What is log_{4}((64)/(sqrt(x+7))) ?
The solution to log_{4}((64)/(sqrt(x+7))) is 3-log_{4}(sqrt(x+7))