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Popular >

simplify-log_{10}(0.5)

Solution

simplify

- lo g_{10} (0.5)

Solution

lo g_{10} (2)

+1

Decimal Notation

0.30102 \dots

Solution steps

- lo g_{10} (0.5)

0.5 = \frac{5}{10}

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

Cancel the numbers:

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

= - lo g_{10} (\frac{1}{2})

\frac{1}{2} = 2^{- 1}

= - lo g_{10} (2^{- 1})

Apply log rule:

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

lo g_{10} (2^{- 1}) = - 1 \cdot lo g_{10} (2)

= - (- 1 \cdot lo g_{10} (2))

Apply rule:

1 \cdot a = a

- 1 \cdot lo g_{10} (2) = - lo g_{10} (2)

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

Apply rule:

- (- a) = a

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

= lo g_{10} (2)

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f = 1 - \frac{2}{5} (3)

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Frequently Asked Questions (FAQ)

What is simplify-log_{10}(0.5) ?
The solution to simplify-log_{10}(0.5) is log_{10}(2)