What is log_{5}((125)/(sqrt(x+6))) ?

The solution to log_{5}((125)/(sqrt(x+6))) is 3-log_{5}(sqrt(x+6))

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simplify log_{5}((125)/(sqrt(x+6)))

simplify

lo g_{5} (\frac{125}{x + 6})

3 - lo g_{5} (x + 6)

Solution steps

lo g_{5} (\frac{125}{x + 6})

Apply log rule:

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

lo g_{5} (\frac{125}{x + 6}) = lo g_{5} (125) - lo g_{5} (x + 6)

= lo g_{5} (125) - lo g_{5} (x + 6)

lo g_{5} (125) = 3

= 3 - lo g_{5} (x + 6)

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

\frac{1}{3} lo g_{10} (x) - 6 lo g_{10} (sin (3 x)) + 2

ln ∣ 7 - 2 ∣ - \frac{3}{2} ln ∣ 2 \cdot 7 - 1 ∣ + 2 ln ∣ 7 + 3 ∣ + 4.83

lo g_{e} (\frac{1 0 ^{- 12}}{2})

lo g_{10} (x y^{7})

What is log_{5}((125)/(sqrt(x+6))) ?
The solution to log_{5}((125)/(sqrt(x+6))) is 3-log_{5}(sqrt(x+6))