What is 6.1+log_{10}((15)/(0.03*51)) ?

The solution to 6.1+log_{10}((15)/(0.03*51)) is 6.1++log_{10}(15)-(log_{10}(0.03)+log_{10}(51))

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simplify 6.1+log_{10}((15)/(0.03*51))

simplify

6.1 + lo g_{10} (\frac{15}{0.03 \cdot 51})

6.1 + + lo g_{10} (15) - (lo g_{10} (0.03) + lo g_{10} (51))

Decimal Notation

7.09139 \dots

Solution steps

6.1 + lo g_{10} (\frac{15}{0.03 \cdot 51})

Apply log rule:

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

lo g_{10} (\frac{15}{0.03 \cdot 51}) = lo g_{10} (15) - lo g_{10} (0.03 \cdot 51)

= 6.1 + + lo g_{10} (15) - lo g_{10} (51 \cdot 0.03)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (0.03 \cdot 51) = lo g_{10} (0.03) + lo g_{10} (51)

= 6.1 + + lo g_{10} (15) - (lo g_{10} (51) + lo g_{10} (0.03))

ln (y \cdot e^{x y})

5 lo g_{b} (z - 3) - 2 lo g_{b} (z + 8)

ln (e^{x} (ln (x)))

ln (\frac{3 x}{2 y})

(4 \cdot 50) ln (\frac{( 2 \cdot 4 )}{20})

What is 6.1+log_{10}((15)/(0.03*51)) ?
The solution to 6.1+log_{10}((15)/(0.03*51)) is 6.1++log_{10}(15)-(log_{10}(0.03)+log_{10}(51))