What is 14.77+10*log_{10}((179.68)/(1.905)) ?

The solution to 14.77+10*log_{10}((179.68)/(1.905)) is 14.77+10(log_{10}(179.68)-log_{10}(1.905))

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simplify 14.77+10*log_{10}((179.68)/(1.905))

simplify

14.77 + 10 \cdot lo g_{10} (\frac{179.68}{1.905})

14.77 + 10 (lo g_{10} (179.68) - lo g_{10} (1.905))

Decimal

34.51604 \dots

Solution steps

14.77 + 10 lo g_{10} (\frac{179.68}{1.905})

Apply log rule:

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

lo g_{10} (\frac{179.68}{1.905}) = lo g_{10} (179.68) - lo g_{10} (1.905)

= 14.77 + 10 (lo g_{10} (179.68) - lo g_{10} (1.905))

- lo g_{10} (7.2 \cdot 1 0^{- 6})

4.3279 + lo g_{10} (\frac{0.47}{0.29})

20 lo g_{10} (\frac{4 π}{299000})

ln (\frac{n ^{2} - n}{n ^{2} - n - 2})

- lo g_{10} (5 \cdot 1 0^{- 12})

What is 14.77+10*log_{10}((179.68)/(1.905)) ?
The solution to 14.77+10*log_{10}((179.68)/(1.905)) is 14.77+10(log_{10}(179.68)-log_{10}(1.905))