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Popular >

simplify log_{3}(21)

Solution

simplify

lo g_{3} (21)

Solution

1 + lo g_{3} (7)

+1

Decimal Notation

2.77124 \dots

Solution steps

lo g_{3} (21)

Factor the number:

21 = 3 \cdot 7

= lo g_{3} (3 \cdot 7)

Apply log rule:

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

lo g_{3} (3 \cdot 7) = lo g_{3} (3) + lo g_{3} (7)

= lo g_{3} (3) + lo g_{3} (7)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 1 + lo g_{3} (7)

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expand (x^2-5)^3 expand

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Frequently Asked Questions (FAQ)

What is log_{3}(21) ?
The solution to log_{3}(21) is 1+log_{3}(7)