What is log_{4}((16)/(sqrt(x+2))) ?

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

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simplify log_{4}((16)/(sqrt(x+2)))

simplify

lo g_{4} (\frac{16}{x + 2})

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

Solution steps

lo g_{4} (\frac{16}{x + 2})

Apply log rule:

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

lo g_{4} (\frac{16}{x + 2}) = lo g_{4} (16) - lo g_{4} (x + 2)

= lo g_{4} (16) - lo g_{4} (x + 2)

lo g_{4} (16) = 2

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

3 lo g_{b} (5) + lo g_{b} (2) - lo g_{b} (10)

lo g_{10} (\frac{x a ^{2}}{y ^{7}})

ln (\frac{e ^{9}}{4})

lo g_{3} (\frac{3}{x})

ln (\frac{e ^{4}}{8})

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