What is log_{5}((125)/(sqrt(x+4))) ?

The solution to log_{5}((125)/(sqrt(x+4))) is 3-log_{5}(sqrt(x+4))

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simplify log_{5}((125)/(sqrt(x+4)))

simplify

lo g_{5} (\frac{125}{x + 4})

3 - lo g_{5} (x + 4)

Solution steps

lo g_{5} (\frac{125}{x + 4})

Apply log rule:

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

lo g_{5} (\frac{125}{x + 4}) = lo g_{5} (125) - lo g_{5} (x + 4)

= lo g_{5} (125) - lo g_{5} (x + 4)

lo g_{5} (125) = 3

= 3 - lo g_{5} (x + 4)

lo g_{10} (m) + lo g_{10} (n) - lo g_{10} (p)

lo g_{4} (\frac{64}{y})

lo g_{b} (80) - lo g_{b} (5)

ln (\frac{e ^{5}}{14})

lo g_{b} (\frac{x ^{2} y}{z ^{4}})

What is log_{5}((125)/(sqrt(x+4))) ?
The solution to log_{5}((125)/(sqrt(x+4))) is 3-log_{5}(sqrt(x+4))