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Popular >

simplify-log_{10}(0.2)

Solution

simplify

- lo g_{10} (0.2)

Solution

lo g_{10} (5)

+1

Decimal Notation

0.69897 \dots

Solution steps

- lo g_{10} (0.2)

0.2 = \frac{2}{10}

= - lo g_{10} (\frac{2}{10})

Cancel the numbers:

\frac{2}{10} = \frac{1}{5}

= - lo g_{10} (\frac{1}{5})

\frac{1}{5} = 5^{- 1}

= - lo g_{10} (5^{- 1})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{10} (5^{- 1}) = - 1 \cdot lo g_{10} (5)

= - (- 1 \cdot lo g_{10} (5))

Apply rule:

1 \cdot a = a

- 1 \cdot lo g_{10} (5) = - lo g_{10} (5)

= - (- lo g_{10} (5))

Apply rule:

- (- a) = a

- (- lo g_{10} (5)) = lo g_{10} (5)

= lo g_{10} (5)

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Frequently Asked Questions (FAQ)

What is simplify-log_{10}(0.2) ?
The solution to simplify-log_{10}(0.2) is log_{10}(5)