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Popular >

simplify log_{3}(5x^3)

Solution

simplify

lo g_{3} (5 x^{3})

Solution

lo g_{3} (5) + 3 lo g_{3} (x)

Solution steps

lo g_{3} (5 x^{3})

Apply log rule:

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

lo g_{3} (5 x^{3}) = lo g_{3} (5) + lo g_{3} (x^{3})

= lo g_{3} (5) + lo g_{3} (x^{3})

Simplify

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

= lo g_{3} (5) + 3 lo g_{3} (x)

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Frequently Asked Questions (FAQ)

What is log_{3}(5x^3) ?
The solution to log_{3}(5x^3) is log_{3}(5)+3log_{3}(x)