What is 3.3+log_{10}((0.3-0.05)/(0.25+0.05)) ?

The solution to 3.3+log_{10}((0.3-0.05)/(0.25+0.05)) is 3.3++log_{10}(0.3-0.05)-log_{10}(0.25+0.05)

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simplify 3.3+log_{10}((0.3-0.05)/(0.25+0.05))

simplify

3.3 + lo g_{10} (\frac{0.3 - 0.05}{0.25 + 0.05})

3.3 + + lo g_{10} (0.3 - 0.05) - lo g_{10} (0.25 + 0.05)

Decimal Notation

3.22081 \dots

Solution steps

3.3 + lo g_{10} (\frac{0.3 - 0.05}{0.25 + 0.05})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{0.3 - 0.05}{0.25 + 0.05}) = lo g_{10} (0.3 - 0.05) - lo g_{10} (0.25 + 0.05)

= 3.3 + + lo g_{10} (0.3 - 0.05) - lo g_{10} (0.25 + 0.05)

- lo g_{10} (1.5 \cdot 1 0^{- 4})

- 0.4 lo g_{2} (0.4) - 0.6 lo g_{2} (0.6)

lo g_{5} (\frac{u}{v ^{5}})

ln (\frac{7}{9})

ln (\frac{1}{x ^{5}})

What is 3.3+log_{10}((0.3-0.05)/(0.25+0.05)) ?
The solution to 3.3+log_{10}((0.3-0.05)/(0.25+0.05)) is 3.3++log_{10}(0.3-0.05)-log_{10}(0.25+0.05)