What is log_{5}((125)/(sqrt(x+8))) ?

The solution to log_{5}((125)/(sqrt(x+8))) is 3-log_{5}(sqrt(x+8))

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simplify log_{5}((125)/(sqrt(x+8)))

simplify

lo g_{5} (\frac{125}{x + 8})

3 - lo g_{5} (x + 8)

Solution steps

lo g_{5} (\frac{125}{x + 8})

Apply log rule:

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

lo g_{5} (\frac{125}{x + 8}) = lo g_{5} (125) - lo g_{5} (x + 8)

= lo g_{5} (125) - lo g_{5} (x + 8)

lo g_{5} (125) = 3

= 3 - lo g_{5} (x + 8)

lo g_{7} (\frac{x ^{3}}{y ^{4}})

ln (\frac{5 + 21}{2})

\frac{1}{2} lo g_{10} (x) - lo g_{10} (y) + lo g_{10} (9 z)

ln (x^{3} - 1) - ln (x^{2} + x + 1)

What is log_{5}((125)/(sqrt(x+8))) ?
The solution to log_{5}((125)/(sqrt(x+8))) is 3-log_{5}(sqrt(x+8))