What is 0.14-(0.0591)/2*log_{10}(1/3) ?

The solution to 0.14-(0.0591)/2*log_{10}(1/3) is 7/50+591/20000 log_{10}(3)

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simplify 0.14-(0.0591)/2*log_{10}(1/3)

simplify

0.14 - \frac{0.0591}{2} \cdot lo g_{10} (\frac{1}{3})

\frac{7}{50} + \frac{591}{20000} lo g_{10} (3)

Decimal Notation

0.15409 \dots

Solution steps

0.14 - \frac{0.0591}{2} lo g_{10} (\frac{1}{3})

0.14 = \frac{7}{50}

= \frac{7}{50} - \frac{0.0591}{2} lo g_{10} (\frac{1}{3})

\frac{0.0591}{2} = \frac{591}{20000}

= \frac{7}{50} - \frac{591}{20000} lo g_{10} (\frac{1}{3})

\frac{591}{20000} lo g_{10} (\frac{1}{3}) = - \frac{591}{20000} lo g_{10} (3)

= \frac{7}{50} - (- \frac{591}{20000} lo g_{10} (3))

Apply rule:

a - (- b) = a + b

\frac{7}{50} - (- \frac{591}{20000} lo g_{10} (3)) = \frac{7}{50} + \frac{591}{20000} lo g_{10} (3)

= \frac{7}{50} + \frac{591}{20000} lo g_{10} (3)

ln ((1 + (10)^{2}) \cdot (- 20)^{2})

ln (x) - \frac{1}{4} ln (y)

- lo g_{10} (1.7 (1 0^{- 9}))

182000 (ln (0.44) - ln (1.3))

3.74 + lo g_{10} (\frac{0.0005}{0.0495})

What is 0.14-(0.0591)/2*log_{10}(1/3) ?
The solution to 0.14-(0.0591)/2*log_{10}(1/3) is 7/50+591/20000 log_{10}(3)