What is (60)/(sqrt(2.5))ln((0.116)/(0.039)) ?

The solution to (60)/(sqrt(2.5))ln((0.116)/(0.039)) is (60sqrt(2.5))/(2.5)(ln(0.116)-ln(0.039))

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simplify (60)/(sqrt(2.5))ln((0.116)/(0.039))

simplify

\frac{60}{2.5} ln (\frac{0.116}{0.039})

\frac{60 2.5}{2.5} (ln (0.116) - ln (0.039))

Decimal Notation

41.36367 \dots

Solution steps

\frac{60}{2.5} ln (\frac{0.116}{0.039})

Apply log rule:

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

ln (\frac{0.116}{0.039}) = ln (0.116) - ln (0.039)

= \frac{60}{2.5} (ln (0.116) - ln (0.039))

\frac{60}{2.5} = \frac{60 2.5}{2.5}

= \frac{60 2.5}{2.5} (ln (0.116) - ln (0.039))

\frac{125 \cdot 1.5}{200 \cdot 25 \cdot 50} \cdot ln (\frac{150}{100})

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

(\frac{1}{- 0.223}) ln (\frac{1}{2})

- 578.2 - 3000 (ln (22501) - ln (32000))

ln (x (x - 2))

What is (60)/(sqrt(2.5))ln((0.116)/(0.039)) ?
The solution to (60)/(sqrt(2.5))ln((0.116)/(0.039)) is (60sqrt(2.5))/(2.5)(ln(0.116)-ln(0.039))