What is log_{3}(x)+log_{3}(2x) ?

The solution to log_{3}(x)+log_{3}(2x) is log_{3}(2x^2)

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simplify log_{3}(x)+log_{3}(2x)

simplify

lo g_{3} (x) + lo g_{3} (2 x)

lo g_{3} (2 x^{2})

Solution steps

lo g_{3} (x) + lo g_{3} (2 x)

Apply log rule:

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

lo g_{3} (x) + lo g_{3} (2 x) = lo g_{3} (x \cdot 2 x)

= lo g_{3} (x \cdot 2 x)

Simplify

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

= lo g_{3} (2 x^{2})

lo g_{7} (49 n)

lo g_{10} (30) + lo g_{10} (6)

lo g_{6} (x) - lo g_{6} (x^{6})

ln (x^{2} - 9) - ln (4 - x^{2})

What is log_{3}(x)+log_{3}(2x) ?
The solution to log_{3}(x)+log_{3}(2x) is log_{3}(2x^2)