What is 3.8+log_{10}((0.2-0.02)/(0.5+0.02)) ?

The solution to 3.8+log_{10}((0.2-0.02)/(0.5+0.02)) is 3.8++log_{10}(0.2-0.02)-log_{10}(0.5+0.02)

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simplify 3.8+log_{10}((0.2-0.02)/(0.5+0.02))

simplify

3.8 + lo g_{10} (\frac{0.2 - 0.02}{0.5 + 0.02})

3.8 + + lo g_{10} (0.2 - 0.02) - lo g_{10} (0.5 + 0.02)

Decimal Notation

3.33926 \dots

Solution steps

3.8 + lo g_{10} (\frac{0.2 - 0.02}{0.5 + 0.02})

Apply log rule:

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

lo g_{10} (\frac{0.2 - 0.02}{0.5 + 0.02}) = lo g_{10} (0.2 - 0.02) - lo g_{10} (0.5 + 0.02)

= 3.8 + + lo g_{10} (0.2 - 0.02) - lo g_{10} (0.5 + 0.02)

lo g_{2} (\frac{8 a ^{2} 2 - b}{c ( b + 3 ) ^{2}})

lo g_{10} (\frac{x ^{2} y ^{3}}{z ^{4}})

lo g_{2} (\frac{z}{8})

ln (\frac{7}{6 x ^{6} y})

lo g_{10} (\frac{x ^{2} - x - 12}{x})

What is 3.8+log_{10}((0.2-0.02)/(0.5+0.02)) ?
The solution to 3.8+log_{10}((0.2-0.02)/(0.5+0.02)) is 3.8++log_{10}(0.2-0.02)-log_{10}(0.5+0.02)