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Popular >

simplify log_{5}(1/40)

Solution

simplify

lo g_{5} (\frac{1}{40})

Solution

- lo g_{5} (40)

+1

Decimal Notation

- 2.29202 \dots

Solution steps

lo g_{5} (\frac{1}{40})

Apply log rule:

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

lo g_{5} (\frac{1}{40}) = lo g_{5} (1) - lo g_{5} (40)

= lo g_{5} (1) - lo g_{5} (40)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (40)

0 - lo g_{5} (40) = - lo g_{5} (40)

= - lo g_{5} (40)

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Frequently Asked Questions (FAQ)

What is log_{5}(1/40) ?
The solution to log_{5}(1/40) is -log_{5}(40)