What is 0.1*(log_{10}(118.4)-log_{10}(100.4)) ?

The solution to 0.1*(log_{10}(118.4)-log_{10}(100.4)) is 0.1log_{10}(296/251)

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simplify 0.1*(log_{10}(118.4)-log_{10}(100.4))

simplify

0.1 \cdot (lo g_{10} (118.4) - lo g_{10} (100.4))

0.1 lo g_{10} (\frac{296}{251})

Decimal Notation

0.00716 \dots

Solution steps

0.1 (lo g_{10} (118.4) - lo g_{10} (100.4))

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (118.4) - lo g_{10} (100.4) = lo g_{10} (\frac{118.4}{100.4})

= 0.1 lo g_{10} (\frac{118.4}{100.4})

\frac{118.4}{100.4} = \frac{296}{251}

= 0.1 lo g_{10} (\frac{296}{251})

ln (\frac{3}{5}) + ln (23)

- (\frac{9}{14}) \cdot lo g_{2} (\frac{9}{14}) - (\frac{5}{14}) \cdot lo g_{2} (\frac{5}{14})

ln (\frac{x + 1}{e y})

ln (16 θ^{5})

- ln (\frac{0.65}{0.8})

What is 0.1*(log_{10}(118.4)-log_{10}(100.4)) ?
The solution to 0.1*(log_{10}(118.4)-log_{10}(100.4)) is 0.1log_{10}(296/251)