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Popular >

simplify log_{3}(27b)

Solution

simplify

lo g_{3} (27 b)

Solution

3 + lo g_{3} (b)

Solution steps

lo g_{3} (27 b)

Factor the number:

27 = 3^{3}

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 3 + lo g_{3} (b)

Popular Examples

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Frequently Asked Questions (FAQ)

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