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Popular >

simplify log_{10}(0.08)

Solution

simplify

lo g_{10} (0.08)

Solution

3 lo g_{10} (2) - 2

+1

Decimal Notation

- 1.09691 \dots

Solution steps

lo g_{10} (0.08)

0.08 = \frac{8}{100}

= lo g_{10} (\frac{8}{100})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{8}{100}) = lo g_{10} (8) - lo g_{10} (100)

= lo g_{10} (8) - lo g_{10} (100)

lo g_{10} (8) = 3 lo g_{10} (2)

lo g_{10} (100) = 2

= 3 lo g_{10} (2) - 2

Popular Examples

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11 \cdot 2

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5 \times \frac{1}{3}

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(- x^{2} + 2 x + 5)^{2}

simplify x^{(-2)/3}simplify

x^{\frac{- 2}{3}}

\frac{65}{3}

Frequently Asked Questions (FAQ)

What is log_{10}(0.08) ?
The solution to log_{10}(0.08) is 3log_{10}(2)-2