What is log_{10}(x)+log_{10}(2x) ?

The solution to log_{10}(x)+log_{10}(2x) is log_{10}(2x^2)

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simplify log_{10}(x)+log_{10}(2x)

simplify

lo g_{10} (x) + lo g_{10} (2 x)

lo g_{10} (2 x^{2})

Solution steps

lo g_{10} (x) + lo g_{10} (2 x)

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (2 x) = lo g_{10} (x \cdot 2 x)

= lo g_{10} (x \cdot 2 x)

Simplify

x \cdot 2 x : 2 x^{2}

= lo g_{10} (2 x^{2})

lo g_{3} (x y)

lo g_{b} (343 k)

lo g_{3} (9 x^{4}) - lo g_{3} ((3 x)^{2})

ln (2 arccot (x))

What is log_{10}(x)+log_{10}(2x) ?
The solution to log_{10}(x)+log_{10}(2x) is log_{10}(2x^2)