What is log_{4}((16)/(sqrt(x+8))) ?

The solution to log_{4}((16)/(sqrt(x+8))) is 2-log_{4}(sqrt(x+8))

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simplify log_{4}((16)/(sqrt(x+8)))

simplify

lo g_{4} (\frac{16}{x + 8})

2 - lo g_{4} (x + 8)

Solution steps

lo g_{4} (\frac{16}{x + 8})

Apply log rule:

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

lo g_{4} (\frac{16}{x + 8}) = lo g_{4} (16) - lo g_{4} (x + 8)

= lo g_{4} (16) - lo g_{4} (x + 8)

lo g_{4} (16) = 2

= 2 - lo g_{4} (x + 8)

lo g_{10} (100000 y)

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

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

10 ln (3 x)

lo g_{4} (7) - lo g_{4} (10)

What is log_{4}((16)/(sqrt(x+8))) ?
The solution to log_{4}((16)/(sqrt(x+8))) is 2-log_{4}(sqrt(x+8))