What is log_{4}((64)/(sqrt(x+2))) ?

The solution to log_{4}((64)/(sqrt(x+2))) is 3-log_{4}(sqrt(x+2))

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simplify log_{4}((64)/(sqrt(x+2)))

simplify

lo g_{4} (\frac{64}{x + 2})

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

Solution steps

lo g_{4} (\frac{64}{x + 2})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 2}) = lo g_{4} (64) - lo g_{4} (x + 2)

= lo g_{4} (64) - lo g_{4} (x + 2)

lo g_{4} (64) = 3

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

- (\frac{1}{3} lo g_{2} (\frac{1}{3}) + \frac{2}{3} lo g_{2} (\frac{2}{3}))

\frac{2 ln ( 2 )}{ln ( 5 ) - 2 ln ( 2 )}

lo g_{10} (\frac{x ^{6} y}{z})

ln (\frac{3 r ^{2}}{r - 8})

- lo g_{10} (1.3 \cdot 1 0^{- 8})

What is log_{4}((64)/(sqrt(x+2))) ?
The solution to log_{4}((64)/(sqrt(x+2))) is 3-log_{4}(sqrt(x+2))