What is 6.1-log_{10}((51)/(18.5)) ?

The solution to 6.1-log_{10}((51)/(18.5)) is 6.1-log_{10}(51)+log_{10}(18.5)

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simplify 6.1-log_{10}((51)/(18.5))

simplify

6.1 - lo g_{10} (\frac{51}{18.5})

6.1 - lo g_{10} (51) + lo g_{10} (18.5)

Decimal Notation

5.65960 \dots

Solution steps

6.1 - lo g_{10} (\frac{51}{18.5})

Apply log rule:

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

lo g_{10} (\frac{51}{18.5}) = lo g_{10} (51) - lo g_{10} (18.5)

= 6.1 - (lo g_{10} (51) - lo g_{10} (18.5))

- (lo g_{10} (51) - lo g_{10} (18.5)) : - lo g_{10} (51) + lo g_{10} (18.5)

= 6.1 - lo g_{10} (51) + lo g_{10} (18.5)

\frac{1}{4} ln (3 x + 1) - \frac{1}{4} ln (x - 1) + ln (k)

ln (\frac{( e ^{2} )}{c ^{2} + 5})

ln (C k (e^{- a} - e^{- b}))

6 \cdot ln (\frac{3}{2}) - 4 \cdot ln (2) - 2 \cdot ln (\frac{6}{5})

- 2 \cdot ln (\frac{6}{5})

What is 6.1-log_{10}((51)/(18.5)) ?
The solution to 6.1-log_{10}((51)/(18.5)) is 6.1-log_{10}(51)+log_{10}(18.5)