What is 6.1+log_{10}((14)/(11.2)) ?

The solution to 6.1+log_{10}((14)/(11.2)) is 4.1+3log_{10}(5)

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simplify 6.1+log_{10}((14)/(11.2))

simplify

6.1 + lo g_{10} (\frac{14}{11.2})

4.1 + 3 lo g_{10} (5)

Decimal Notation

6.19691 \dots

Solution steps

6.1 + lo g_{10} (\frac{14}{11.2})

lo g_{10} (\frac{14}{11.2}) = 3 lo g_{10} (5) - 2

= 6.1 + 3 lo g_{10} (5) - 2

Subtract the numbers:

6.1 - 2 = 4.1

= 4.1 + 3 lo g_{10} (5)

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What is 6.1+log_{10}((14)/(11.2)) ?
The solution to 6.1+log_{10}((14)/(11.2)) is 4.1+3log_{10}(5)