What is simplify-5137.521+1239.973ln(1938/30) ?

The solution to simplify-5137.521+1239.973ln(1938/30) is -5137.521+1239.973(ln(1938)-ln(30))

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simplify-5137.521+1239.973ln(1938/30)

simplify

- 5137.521 + 1239.973 ln (\frac{1938}{30})

- 5137.521 + 1239.973 (ln (1938) - ln (30))

Decimal Notation

30.95232 \dots

Solution steps

- 5137.521 + 1239.973 ln (\frac{1938}{30})

Apply log rule:

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

ln (\frac{1938}{30}) = ln (1938) - ln (30)

= - 5137.521 + 1239.973 (ln (1938) - ln (30))

ln (\frac{2 x ^{2} + 6 x + 6}{x ^{\frac{6}{5}} cos ( x )})

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

\frac{1}{3} ln (\frac{2}{5})

3 lo g_{0.4} (2) - 3 lo g_{0.4} (5)

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

What is simplify-5137.521+1239.973ln(1938/30) ?
The solution to simplify-5137.521+1239.973ln(1938/30) is -5137.521+1239.973(ln(1938)-ln(30))