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Popular >

simplify log_{3}(1/36)

Solution

simplify

lo g_{3} (\frac{1}{36})

Solution

- 2 lo g_{3} (6)

+1

Solution steps

lo g_{3} (\frac{1}{36})

Apply log rule:

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

lo g_{3} (\frac{1}{36}) = lo g_{3} (1) - lo g_{3} (36)

= lo g_{3} (1) - lo g_{3} (36)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{3} (36)

0 - lo g_{3} (36) = - lo g_{3} (36)

= - lo g_{3} (36)

Simplify

lo g_{3} (36) : 2 lo g_{3} (6)

= - 2 lo g_{3} (6)

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Frequently Asked Questions (FAQ)

What is log_{3}(1/36) ?
The solution to log_{3}(1/36) is -2log_{3}(6)