What is log_{4}((16)/(sqrt(x+7))) ?

The solution to log_{4}((16)/(sqrt(x+7))) is 2-log_{4}(sqrt(x+7))

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simplify log_{4}((16)/(sqrt(x+7)))

simplify

lo g_{4} (\frac{16}{x + 7})

2 - lo g_{4} (x + 7)

Solution steps

lo g_{4} (\frac{16}{x + 7})

Apply log rule:

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

lo g_{4} (\frac{16}{x + 7}) = lo g_{4} (16) - lo g_{4} (x + 7)

= lo g_{4} (16) - lo g_{4} (x + 7)

lo g_{4} (16) = 2

= 2 - lo g_{4} (x + 7)

\frac{3}{2} \cdot lo g_{3} (a) - \frac{1}{4} \cdot lo g_{3} (16 a^{2})

ln (\frac{e ^{x}}{1 + e ^{x}})

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

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

ln (\frac{e ^{5}}{9})

What is log_{4}((16)/(sqrt(x+7))) ?
The solution to log_{4}((16)/(sqrt(x+7))) is 2-log_{4}(sqrt(x+7))