What is log_{5}(x^2)-log_{5}(2) ?

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

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simplify log_{5}(x^2)-log_{5}(2)

simplify

lo g_{5} (x^{2}) - lo g_{5} (2)

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

Solution steps

lo g_{5} (x^{2}) - lo g_{5} (2)

Apply log rule:

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

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

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

lo g_{3} (\frac{1}{2}) - lo g_{9} (\frac{1}{2})

lo g_{2} (\frac{i}{j s})

ln (\frac{u}{3} + 1) - ln (\frac{u}{3} - 1)

lo g_{7} (9 x)

lo g_{5} (\frac{x y}{z})

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