What is 1.41-(0.0591)/6*log_{10}((0.001)/(0.5)) ?

The solution to 1.41-(0.0591)/6*log_{10}((0.001)/(0.5)) is 141/100+197/20000 log_{10}(500)

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simplify 1.41-(0.0591)/6*log_{10}((0.001)/(0.5))

simplify

1.41 - \frac{0.0591}{6} \cdot lo g_{10} (\frac{0.001}{0.5})

\frac{141}{100} + \frac{197}{20000} lo g_{10} (500)

Decimal Notation

1.43658 \dots

Solution steps

1.41 - \frac{0.0591}{6} lo g_{10} (\frac{0.001}{0.5})

1.41 = \frac{141}{100}

= \frac{141}{100} - \frac{0.0591}{6} lo g_{10} (\frac{0.001}{0.5})

\frac{0.0591}{6} = \frac{591}{60000}

= \frac{141}{100} - \frac{591}{60000} lo g_{10} (\frac{0.001}{0.5})

\frac{591}{60000} lo g_{10} (\frac{0.001}{0.5}) = - \frac{197}{20000} lo g_{10} (500)

= \frac{141}{100} - (- \frac{197}{20000} lo g_{10} (500))

Apply rule:

a - (- b) = a + b

\frac{141}{100} - (- \frac{197}{20000} lo g_{10} (500)) = \frac{141}{100} + \frac{197}{20000} lo g_{10} (500)

= \frac{141}{100} + \frac{197}{20000} lo g_{10} (500)

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4 lo g_{e} (8) - 4 lo g_{e} (4)

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lo g_{2} ((\frac{x}{y})^{5})

What is 1.41-(0.0591)/6*log_{10}((0.001)/(0.5)) ?
The solution to 1.41-(0.0591)/6*log_{10}((0.001)/(0.5)) is 141/100+197/20000 log_{10}(500)