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Popular >

expand log_{5}(1/625)

Solution

expand

lo g_{5} (\frac{1}{625})

Solution

- 4

Solution steps

lo g_{5} (\frac{1}{625})

Apply log rule:

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

lo g_{5} (\frac{1}{625}) = lo g_{5} (1) - lo g_{5} (625)

= lo g_{5} (1) - lo g_{5} (625)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (625)

0 - lo g_{5} (625) = - lo g_{5} (625)

= - lo g_{5} (625)

Simplify

lo g_{5} (625) : 4

= - 4

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Frequently Asked Questions (FAQ)

What is expand log_{5}(1/625) ?
The solution to expand log_{5}(1/625) is -4