What is log_{10}((0.651)/(0.349))-0.5*(-0.30134) ?

The solution to log_{10}((0.651)/(0.349))-0.5*(-0.30134) is log_{10}(651)-log_{10}(349)+0.15067

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simplify log_{10}((0.651)/(0.349))-0.5*(-0.30134)

simplify

lo g_{10} (\frac{0.651}{0.349}) - 0.5 \cdot (- 0.30134)

lo g_{10} (651) - lo g_{10} (349) + 0.15067

Decimal Notation

0.42142 \dots

Solution steps

lo g_{10} (\frac{0.651}{0.349}) - 0.5 (- 0.30134)

lo g_{10} (\frac{0.651}{0.349}) = lo g_{10} (651) - lo g_{10} (349)

0.5 (- 0.30134) = - 0.15067

= lo g_{10} (651) - lo g_{10} (349) - (- 0.15067)

Apply rule:

a - (- b) = a + b

- lo g_{10} (349) - (- 0.15067) = - lo g_{10} (349) + 0.15067

= lo g_{10} (651) - lo g_{10} (349) + 0.15067

ln (\frac{1}{1.297})

3 lo g_{10} (x) - 4 lo g_{10} (x - 1)

ln (6) + 4 ln (4)

lo g_{5} (2) + lo g_{5} (20) - lo g_{5} (4)

ln ∣ z + 4 ∣ + \frac{6}{5} ln ∣ z - 1 ∣ - \frac{6}{5} ln ∣ z + 4 ∣ + ln ∣ x ∣

What is log_{10}((0.651)/(0.349))-0.5*(-0.30134) ?
The solution to log_{10}((0.651)/(0.349))-0.5*(-0.30134) is log_{10}(651)-log_{10}(349)+0.15067