What is log_{3}(x^2)+log_{3}(25) ?

The solution to log_{3}(x^2)+log_{3}(25) is log_{3}(25x^2)

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simplify log_{3}(x^2)+log_{3}(25)

simplify

lo g_{3} (x^{2}) + lo g_{3} (25)

lo g_{3} (25 x^{2})

Solution steps

lo g_{3} (x^{2}) + lo g_{3} (25)

Apply log rule:

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

lo g_{3} (x^{2}) + lo g_{3} (25) = lo g_{3} (x^{2} \cdot 25)

= lo g_{3} (x^{2} \cdot 25)

= lo g_{3} (25 x^{2})

3 lo g_{10} (7 x) - 4 lo g_{10} (7 y)

lo g_{2} (\frac{1}{m})

ln (\frac{2}{11})

ln (\frac{2 x ^{3} + 6}{3 x + 4})

ln (- \frac{1}{2} e^{- 2 y})

What is log_{3}(x^2)+log_{3}(25) ?
The solution to log_{3}(x^2)+log_{3}(25) is log_{3}(25x^2)