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Popular >

simplify log_{3}(27x)

Solution

simplify

lo g_{3} (27 x)

Solution

3 + lo g_{3} (x)

Solution steps

lo g_{3} (27 x)

Factor the number:

27 = 3^{3}

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 3 + lo g_{3} (x)

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Frequently Asked Questions (FAQ)

What is log_{3}(27x) ?
The solution to log_{3}(27x) is 3+log_{3}(x)