What is simplify-0.4+(0.592)/2*log_{10}((0.2)/1) ?

The solution to simplify-0.4+(0.592)/2*log_{10}((0.2)/1) is -2/5-37/125 log_{10}(5)

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simplify-0.4+(0.592)/2*log_{10}((0.2)/1)

simplify

- 0.4 + \frac{0.592}{2} \cdot lo g_{10} (\frac{0.2}{1})

- \frac{2}{5} - \frac{37}{125} lo g_{10} (5)

Decimal Notation

- 0.60689 \dots

Solution steps

- 0.4 + \frac{0.592}{2} lo g_{10} (\frac{0.2}{1})

0.4 = \frac{2}{5}

= - \frac{2}{5} + \frac{0.592}{2} lo g_{10} (\frac{0.2}{1})

\frac{0.592}{2} = \frac{592}{2000}

= - \frac{2}{5} + \frac{592}{2000} lo g_{10} (\frac{0.2}{1})

\frac{592}{2000} lo g_{10} (\frac{0.2}{1}) = - \frac{37}{125} lo g_{10} (5)

= - \frac{2}{5} - \frac{37}{125} lo g_{10} (5)

\frac{4}{10} lo g_{2} (\frac{10}{4}) + \frac{6}{10} lo g_{2} (\frac{10}{6})

- lo g_{10} (1.1 \cdot 1 0^{- 7})

\frac{1}{4} ln (\frac{38}{13})

ln (\frac{e ^{3} x ^{3} x + 2}{3 y ^{2}})

lo g_{10} (8) - lo g_{10} (2) + 2 lo g_{10} (w)

What is simplify-0.4+(0.592)/2*log_{10}((0.2)/1) ?
The solution to simplify-0.4+(0.592)/2*log_{10}((0.2)/1) is -2/5-37/125 log_{10}(5)