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Popular >

simplify-log_{10}(0.0001)

Solution

simplify

- lo g_{10} (0.0001)

Solution

4

Solution steps

- lo g_{10} (0.0001)

0.0001 = \frac{1}{10000}

= - lo g_{10} (\frac{1}{10000})

\frac{1}{10000} = 1 0^{- 4}

= - lo g_{10} (1 0^{- 4})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{- 4}) = - 4

= - (- 4)

Apply rule:

- (- a) = a

- (- 4) = 4

= 4

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Frequently Asked Questions (FAQ)

What is simplify-log_{10}(0.0001) ?
The solution to simplify-log_{10}(0.0001) is 4