What is log_{5}((125)/(sqrt(x+3))) ?

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

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simplify log_{5}((125)/(sqrt(x+3)))

simplify

lo g_{5} (\frac{125}{x + 3})

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

Solution steps

lo g_{5} (\frac{125}{x + 3})

Apply log rule:

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

lo g_{5} (\frac{125}{x + 3}) = lo g_{5} (125) - lo g_{5} (x + 3)

= lo g_{5} (125) - lo g_{5} (x + 3)

lo g_{5} (125) = 3

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

lo g_{b} (y^{6} x)

2 ln (2) - \frac{1}{2} ln (x^{3} + 4 x)

lo g_{9} (\frac{z}{81})

lo g_{5} ((u v^{5})^{2})

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