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Popular >

simplify log_{3}(((1))/(45))

Solution

simplify

lo g_{3} (\frac{( 1 )}{45})

Solution

- lo g_{3} (45)

+1

Decimal Notation

- 3.46497 \dots

Solution steps

lo g_{3} (\frac{( 1 )}{45})

Apply log rule:

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

lo g_{3} (\frac{( 1 )}{45}) = lo g_{3} ((1)) - lo g_{3} (45)

= lo g_{3} (1) - lo g_{3} (45)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{3} (45)

0 - lo g_{3} (45) = - lo g_{3} (45)

= - lo g_{3} (45)

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Frequently Asked Questions (FAQ)

What is log_{3}(((1))/(45)) ?
The solution to log_{3}(((1))/(45)) is -log_{3}(45)