What is (48125)/((2pi(98-94)))ln(70/20) ?

The solution to (48125)/((2pi(98-94)))ln(70/20) is (48125)/(8pi)(ln(70)-ln(20))

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simplify (48125)/((2pi(98-94)))ln(70/20)

simplify

\frac{48125}{( 2 π ( 98 - 94 ) )} ln (\frac{70}{20})

\frac{48125}{8 π} (ln (70) - ln (20))

Decimal Notation

2398.83175 \dots

Solution steps

\frac{48125}{( 2 π ( 98 - 94 ) )} ln (\frac{70}{20})

Apply log rule:

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

ln (\frac{70}{20}) = ln (70) - ln (20)

= \frac{48125}{2 π ( 98 - 94 )} (ln (70) - ln (20))

2 π (98 - 94) = 8 π

= \frac{48125}{8 π} (ln (70) - ln (20))

2 lo g_{10} (u) - lo g_{10} (v)

ln (5) - ln (7)

3 ln (x) + 5 ln (z)

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

lo g_{5} (\frac{x}{x + 1})

What is (48125)/((2pi(98-94)))ln(70/20) ?
The solution to (48125)/((2pi(98-94)))ln(70/20) is (48125)/(8pi)(ln(70)-ln(20))