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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{3} (x) - lo g_{3} (x^{7})

lo g_{10} (\frac{z ^{5}}{x ^{3} y})

lo g_{2} (A B^{2})

lo g_{4} (\frac{256}{y})

2 lo g_{10} (3) + 4 lo g_{10} (2)

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