What is 5.8+log_{10}((0.015)/(0.4)) ?

The solution to 5.8+log_{10}((0.015)/(0.4)) is 4.8+log_{10}(3)-3log_{10}(2)

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simplify 5.8+log_{10}((0.015)/(0.4))

simplify

5.8 + lo g_{10} (\frac{0.015}{0.4})

4.8 + lo g_{10} (3) - 3 lo g_{10} (2)

Decimal Notation

4.37403 \dots

Solution steps

5.8 + lo g_{10} (\frac{0.015}{0.4})

lo g_{10} (\frac{0.015}{0.4}) = lo g_{10} (3) - 1 - 3 lo g_{10} (2)

= 5.8 + lo g_{10} (3) - 1 - 3 lo g_{10} (2)

Subtract the numbers:

5.8 - 1 = 4.8

= 4.8 + lo g_{10} (3) - 3 lo g_{10} (2)

ln ∣ x ∣ + ln ∣ sin (x) ∣

lo g_{10} (6.5 x 1 0^{7}) - lo g_{10} (1000)

\frac{1}{2} ln (\frac{e + e ^{2} - 1}{e - e ^{2} - 1})

6 \cdot ln (3) - 6 \cdot ln (2)

\frac{10000}{200 π ^{2}} (ln (\frac{400}{0.4}) + ln (8))

What is 5.8+log_{10}((0.015)/(0.4)) ?
The solution to 5.8+log_{10}((0.015)/(0.4)) is 4.8+log_{10}(3)-3log_{10}(2)