What is 4.57-log_{10}((0.049)/(0.21)) ?

The solution to 4.57-log_{10}((0.049)/(0.21)) is 5.57-log_{10}(7)+log_{10}(3)

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simplify 4.57-log_{10}((0.049)/(0.21))

simplify

4.57 - lo g_{10} (\frac{0.049}{0.21})

5.57 - lo g_{10} (7) + lo g_{10} (3)

Decimal Notation

5.20202 \dots

Solution steps

4.57 - lo g_{10} (\frac{0.049}{0.21})

lo g_{10} (\frac{0.049}{0.21}) = lo g_{10} (7) - 1 - lo g_{10} (3)

= 4.57 - (lo g_{10} (7) - 1 - lo g_{10} (3))

Expand

- (lo g_{10} (7) - 1 - lo g_{10} (3)) : - lo g_{10} (7) + 1 + lo g_{10} (3)

= 4.57 - lo g_{10} (7) + 1 + lo g_{10} (3)

Add the numbers:

4.57 + 1 = 5.57

= 5.57 - lo g_{10} (7) + lo g_{10} (3)

ln (\cdot 4 x)

3 ln (t - 2) - 3 ln (t - 1)

- 2 ln (ln (x)) - ln (x)

ln (\frac{2}{3}) + ln (3)

What is 4.57-log_{10}((0.049)/(0.21)) ?
The solution to 4.57-log_{10}((0.049)/(0.21)) is 5.57-log_{10}(7)+log_{10}(3)