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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (64) = 3

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

lo g_{10} (51) - lo g_{10} (17)

\frac{1}{2} lo g_{5} (x) + lo g_{5} (y)

ln (\frac{4}{9 x ^{9} y})

lo g_{5} (\frac{125}{x + 2})

ln (\frac{6}{e ^{7}})

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