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Popular >

simplify log_{3}(1/6)

Solution

simplify

lo g_{3} (\frac{1}{6})

Solution

- lo g_{3} (6)

+1

Decimal Notation

- 1.63092 \dots

Solution steps

lo g_{3} (\frac{1}{6})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{3} (\frac{1}{6}) = lo g_{3} (1) - lo g_{3} (6)

= lo g_{3} (1) - lo g_{3} (6)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{3} (6)

0 - lo g_{3} (6) = - lo g_{3} (6)

= - lo g_{3} (6)

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Frequently Asked Questions (FAQ)

What is log_{3}(1/6) ?
The solution to log_{3}(1/6) is -log_{3}(6)