What is log_{4}((16)/(sqrt(x+9))) ?

The solution to log_{4}((16)/(sqrt(x+9))) is 2-log_{4}(sqrt(x+9))

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simplify log_{4}((16)/(sqrt(x+9)))

simplify

lo g_{4} (\frac{16}{x + 9})

2 - lo g_{4} (x + 9)

Solution steps

lo g_{4} (\frac{16}{x + 9})

Apply log rule:

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

lo g_{4} (\frac{16}{x + 9}) = lo g_{4} (16) - lo g_{4} (x + 9)

= lo g_{4} (16) - lo g_{4} (x + 9)

lo g_{4} (16) = 2

= 2 - lo g_{4} (x + 9)

lo g_{10} (\frac{x ^{2} + y ^{2}}{( x - y ) ^{3}})

ln (\frac{- 4.15 + 8.05}{31.8})

- (\frac{17}{30}) lo g_{2} (\frac{17}{30}) - (\frac{13}{30}) lo g_{2} (\frac{13}{30})

\frac{1}{2} ln (2 x + 1) + ln (x - 1) - 3 ln (x^{2} + 1)

lo g_{10} (\frac{y}{5})

What is log_{4}((16)/(sqrt(x+9))) ?
The solution to log_{4}((16)/(sqrt(x+9))) is 2-log_{4}(sqrt(x+9))