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Popular >

simplify log_{5}(1/10000)

Solution

simplify

lo g_{5} (\frac{1}{10000})

Solution

- 4 lo g_{5} (10)

+1

Decimal Notation

- 5.72270 \dots

Solution steps

lo g_{5} (\frac{1}{10000})

Apply log rule:

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

lo g_{5} (\frac{1}{10000}) = lo g_{5} (1) - lo g_{5} (10000)

= lo g_{5} (1) - lo g_{5} (10000)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (10000)

0 - lo g_{5} (10000) = - lo g_{5} (10000)

= - lo g_{5} (10000)

Simplify

lo g_{5} (10000) : 4 lo g_{5} (10)

= - 4 lo g_{5} (10)

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Frequently Asked Questions (FAQ)

What is log_{5}(1/10000) ?
The solution to log_{5}(1/10000) is -4log_{5}(10)