What is 3.8+log_{10}(1.77\times 10^{-4}) ?

The solution to 3.8+log_{10}(1.77\times 10^{-4}) is -2.2+log_{10}(177)

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simplify 3.8+log_{10}(1.77\times 10^{-4})

simplify

3.8 + lo g_{10} (1.77 \cdot 1 0^{- 4})

- 2.2 + lo g_{10} (177)

Decimal Notation

0.04797 \dots

Solution steps

3.8 + lo g_{10} (1.77 \cdot 1 0^{- 4})

lo g_{10} (1.77 \cdot 1 0^{- 4}) = lo g_{10} (177) - 6

= 3.8 + lo g_{10} (177) - 6

Subtract the numbers:

3.8 - 6 = - 2.2

= - 2.2 + lo g_{10} (177)

lo g_{10} (\frac{a}{b c})

ln (6) + ln (4) - ln (3)

\frac{1}{2} lo g_{3} (x) - 4 lo g_{3} (y) - 2 lo g_{3} (z)

ln (\frac{6}{5 x ^{5} y})

lo g_{10} (79 x y)

What is 3.8+log_{10}(1.77\times 10^{-4}) ?
The solution to 3.8+log_{10}(1.77\times 10^{-4}) is -2.2+log_{10}(177)