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Popular >

simplify log_{10}(1/120)

Solution

simplify

lo g_{10} (\frac{1}{120})

Solution

- lo g_{10} (120)

+1

Decimal Notation

- 2.07918 \dots

Solution steps

lo g_{10} (\frac{1}{120})

Apply log rule:

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

lo g_{10} (\frac{1}{120}) = lo g_{10} (1) - lo g_{10} (120)

= lo g_{10} (1) - lo g_{10} (120)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{10} (120)

0 - lo g_{10} (120) = - lo g_{10} (120)

= - lo g_{10} (120)

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Frequently Asked Questions (FAQ)

What is log_{10}(1/120) ?
The solution to log_{10}(1/120) is -log_{10}(120)