What is (100000*0.25)*ln((0.1)/(0.25)) ?

The solution to (100000*0.25)*ln((0.1)/(0.25)) is 25000(ln(0.1)-ln(0.25))

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simplify (1000000.25)ln((0.1)/(0.25))

simplify

(100000 \cdot 0.25) \cdot ln (\frac{0.1}{0.25})

25000 (ln (0.1) - ln (0.25))

Decimal Notation

- 22907.26829 \dots

Solution steps

(100000 \cdot 0.25) ln (\frac{0.1}{0.25})

Apply log rule:

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

ln (\frac{0.1}{0.25}) = ln (0.1) - ln (0.25)

= 100000 \cdot 0.25 (ln (0.1) - ln (0.25))

Multiply the numbers:

100000 \cdot 0.25 = 25000

= 25000 (ln (0.1) - ln (0.25))

- lo g_{10} (5.8 \cdot 1 0^{- 10})

\frac{1}{2} lo g_{10} (x) - 3 lo g_{10} (y)

- lo g_{10} (5.9 \cdot 1 0^{- 1})

\frac{5 ln ( \frac{9}{74} )}{ln ( \frac{59}{74} )}

- lo g_{10} (1.6 \cdot 1 0^{- 3})

What is (100000*0.25)*ln((0.1)/(0.25)) ?
The solution to (100000*0.25)*ln((0.1)/(0.25)) is 25000(ln(0.1)-ln(0.25))