What is log_{4}((64)/(sqrt(x+9))) ?

The solution to log_{4}((64)/(sqrt(x+9))) is 3-log_{4}(sqrt(x+9))

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simplify log_{4}((64)/(sqrt(x+9)))

simplify

lo g_{4} (\frac{64}{x + 9})

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

Solution steps

lo g_{4} (\frac{64}{x + 9})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 9}) = lo g_{4} (64) - lo g_{4} (x + 9)

= lo g_{4} (64) - lo g_{4} (x + 9)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 9)

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{4 x}})

3 ln (x) + 4 ln (y)

lo g_{\frac{1}{3}} (\frac{9 5 x}{3 y z})

3 ln (a) - \frac{1}{2} (ln (b) + ln (c^{2}))

ln (\frac{1}{y})

What is log_{4}((64)/(sqrt(x+9))) ?
The solution to log_{4}((64)/(sqrt(x+9))) is 3-log_{4}(sqrt(x+9))