What is log_{5}(x^2)+log_{5}(1/x) ?

The solution to log_{5}(x^2)+log_{5}(1/x) is log_{5}(x)

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simplify log_{5}(x^2)+log_{5}(1/x)

simplify

lo g_{5} (x^{2}) + lo g_{5} (\frac{1}{x})

lo g_{5} (x)

Solution steps

lo g_{5} (x^{2}) + lo g_{5} (\frac{1}{x})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{5} (x^{2}) + lo g_{5} (\frac{1}{x}) = lo g_{5} (x^{2} \frac{1}{x})

= lo g_{5} (x^{2} \frac{1}{x})

Simplify

x^{2} \frac{1}{x} : x

= lo g_{5} (x)

lo g_{b} (\frac{2.197}{2.079})

ln (\frac{5}{8 x ^{8} y})

1.1 - \frac{0.0257}{2} \cdot ln (\frac{3.5}{1 0 ^{- 5}})

lo g_{5} (\frac{f}{125})

What is log_{5}(x^2)+log_{5}(1/x) ?
The solution to log_{5}(x^2)+log_{5}(1/x) is log_{5}(x)