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Popular >

simplify log_{3}(6^2)

Solution

simplify

lo g_{3} (6^{2})

Solution

2 + 2 lo g_{3} (2)

+1

Decimal Notation

3.26185 \dots

Solution steps

lo g_{3} (6^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{3} (6^{2}) = 2 lo g_{3} (6)

= 2 lo g_{3} (6)

lo g_{3} (6) = 1 + lo g_{3} (2)

= 2 (1 + lo g_{3} (2))

Expand

2 (1 + lo g_{3} (2)) : 2 + 2 lo g_{3} (2)

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

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Frequently Asked Questions (FAQ)

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