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Popular >

simplify 2log_{3}(27)

Solution

simplify

2 lo g_{3} (27)

Solution

6

Solution steps

2 lo g_{3} (27)

Factor the number:

27 = 3^{3}

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

Apply log rule:

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

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

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

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Frequently Asked Questions (FAQ)

What is 2log_{3}(27) ?
The solution to 2log_{3}(27) is 6