What is 3/2 (log_{10}(4.94145)-log_{10}(761.21)) ?

The solution to 3/2 (log_{10}(4.94145)-log_{10}(761.21)) is 3/2 log_{10}(98829/152242)-3

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simplify 3/2 (log_{10}(4.94145)-log_{10}(761.21))

simplify

\frac{3}{2} (lo g_{10} (4.94145) - lo g_{10} (761.21))

\frac{3}{2} lo g_{10} (\frac{98829}{152242}) - 3

Decimal

- 3.28147 \dots

Solution steps

\frac{3}{2} (lo g_{10} (4.94145) - lo g_{10} (761.21))

lo g_{10} (4.94145) - lo g_{10} (761.21) = lo g_{10} (\frac{98829}{152242}) - 2

= \frac{3}{2} (lo g_{10} (\frac{98829}{152242}) - 2)

Expand

\frac{3}{2} (lo g_{10} (\frac{98829}{152242}) - 2) : \frac{3}{2} lo g_{10} (\frac{98829}{152242}) - 3

= \frac{3}{2} lo g_{10} (\frac{98829}{152242}) - 3

ln (\frac{r \cdot 0.04}{2.51})

3 lo g_{5} (a) - 3 lo g_{5} (b)

\frac{1}{2} ln (a) + 2 ln (c)

\frac{14 \cdot 0.89}{0.58} \cdot ln (\frac{1}{1 - 0.1})

3 lo g_{3} (x) + 4 lo g_{3} (y)

What is 3/2 (log_{10}(4.94145)-log_{10}(761.21)) ?
The solution to 3/2 (log_{10}(4.94145)-log_{10}(761.21)) is 3/2 log_{10}(98829/152242)-3