What is 1/540 ln((100)/(32.5)) ?

The solution to 1/540 ln((100)/(32.5)) is 1/540 (2ln(10)-ln(32.5))

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simplify 1/540 ln((100)/(32.5))

simplify

\frac{1}{540} ln (\frac{100}{32.5})

\frac{1}{540} (2 ln (10) - ln (32.5))

Decimal Notation

0.00208 \dots

Solution steps

\frac{1}{540} ln (\frac{100}{32.5})

Apply log rule:

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

ln (\frac{100}{32.5}) = ln (100) - ln (32.5)

= \frac{1}{540} (ln (100) - ln (32.5))

ln (100) = 2 ln (10)

= \frac{1}{540} (2 ln (10) - ln (32.5))

ln (\frac{x ^{8} p ^{5} q}{e ^{5}})

ln (ln (7) + ln (ln (x) + ln (y)))

ln (\frac{1 + 1}{x}) - (\frac{1}{( x + 1 )})

ln ∣ x ∣ + \frac{1}{x} - \frac{1}{2 x ^{2}} - ln ∣ x + 1 ∣

- lo g_{10} (1.2 \cdot 1 0^{3})

What is 1/540 ln((100)/(32.5)) ?
The solution to 1/540 ln((100)/(32.5)) is 1/540 (2ln(10)-ln(32.5))