What is 51-40-40ln(47/40) ?

The solution to 51-40-40ln(47/40) is 11+40ln(40)-40ln(47)

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simplify 51-40-40ln(47/40)

simplify

51 - 40 - 40 ln (\frac{47}{40})

11 + 40 ln (40) - 40 ln (47)

Decimal Notation

4.54927 \dots

Solution steps

51 - 40 - 40 ln (\frac{47}{40})

Apply log rule:

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

ln (\frac{47}{40}) = ln (47) - ln (40)

= 51 - 40 - 40 (ln (47) - ln (40))

Expand

- 40 (ln (47) - ln (40)) : - 40 ln (47) + 40 ln (40)

= 51 - 40 - 40 ln (47) + 40 ln (40)

Subtract the numbers:

51 - 40 = 11

= 11 + 40 ln (40) - 40 ln (47)

3 lo g_{6} (z) + 2 (lo g_{6} (x) - 2 lo g_{6} (y))

lo g_{3} (2) + \frac{1}{2} lo g_{3} (y)

\frac{1}{2} ln (3 c) + \frac{1}{2} ln (4) d - 2 ln (5 e)

- 5137.521 + 1239.973 ln (\frac{2018}{30})

ln (0.6889 \cdot π)

What is 51-40-40ln(47/40) ?
The solution to 51-40-40ln(47/40) is 11+40ln(40)-40ln(47)