What is log_{4}((64)/(sqrt(x+8))) ?

The solution to log_{4}((64)/(sqrt(x+8))) is 3-log_{4}(sqrt(x+8))

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simplify log_{4}((64)/(sqrt(x+8)))

simplify

lo g_{4} (\frac{64}{x + 8})

3 - lo g_{4} (x + 8)

Solution steps

lo g_{4} (\frac{64}{x + 8})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 8}) = lo g_{4} (64) - lo g_{4} (x + 8)

= lo g_{4} (64) - lo g_{4} (x + 8)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 8)

4 ln (x) + 2 ln (y) - 5 ln (z)

4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (x + 6)

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (z)

lo g_{6} (\frac{16 x ^{2}}{2 x - 4})

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

What is log_{4}((64)/(sqrt(x+8))) ?
The solution to log_{4}((64)/(sqrt(x+8))) is 3-log_{4}(sqrt(x+8))