What is log_{4}((64)/(sqrt(x+6))) ?

The solution to log_{4}((64)/(sqrt(x+6))) is 3-log_{4}(sqrt(x+6))

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simplify log_{4}((64)/(sqrt(x+6)))

simplify

lo g_{4} (\frac{64}{x + 6})

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

Solution steps

lo g_{4} (\frac{64}{x + 6})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 6}) = lo g_{4} (64) - lo g_{4} (x + 6)

= lo g_{4} (64) - lo g_{4} (x + 6)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 6)

lo g_{2} (4 x) - lo g_{4} (4 x) + lo g_{8} (4 x)

\frac{1}{2} lo g_{2} (9 x^{16}) - \frac{2}{3} lo g_{2} (8 x^{3})

3 ln (x + 7) - ln (x)

lo g_{10} (\frac{x}{10000 y ^{5}})

- lo g_{10} (8.2 \cdot 1 0^{- 4})

What is log_{4}((64)/(sqrt(x+6))) ?
The solution to log_{4}((64)/(sqrt(x+6))) is 3-log_{4}(sqrt(x+6))