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Popular >

simplify log_{4}(1/42)

Solution

simplify

lo g_{4} (\frac{1}{42})

Solution

- lo g_{4} (42)

+1

Decimal Notation

- 2.69615 \dots

Solution steps

lo g_{4} (\frac{1}{42})

Apply log rule:

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

lo g_{4} (\frac{1}{42}) = lo g_{4} (1) - lo g_{4} (42)

= lo g_{4} (1) - lo g_{4} (42)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{4} (42)

0 - lo g_{4} (42) = - lo g_{4} (42)

= - lo g_{4} (42)

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Frequently Asked Questions (FAQ)

What is log_{4}(1/42) ?
The solution to log_{4}(1/42) is -log_{4}(42)