What is ((ln(0.25)+ln(0.5)+ln(0.75))*2*0.5)/2 ?

The solution to ((ln(0.25)+ln(0.5)+ln(0.75))*2*0.5)/2 is (ln(0.09375))/2

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simplify ((ln(0.25)+ln(0.5)+ln(0.75))20.5)/2

simplify

\frac{( ln ( 0.25 ) + ln ( 0.5 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.5}{2}

\frac{ln ( 0.09375 )}{2}

Decimal Notation

- 1.18356 \dots

Solution steps

\frac{( ln ( 0.25 ) + ln ( 0.5 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.5}{2}

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (0.25) + ln (0.5) = ln (0.25 \cdot 0.5)

= \frac{2 \cdot 0.5 ( ln ( 0.75 ) + ln ( 0.25 \cdot 0.5 ) )}{2}

Multiply the numbers:

0.25 \cdot 0.5 = 0.125

= \frac{( ln ( 0.125 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.5}{2}

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (0.125) + ln (0.75) = ln (0.125 \cdot 0.75)

= \frac{2 \cdot 0.5 ln ( 0.125 \cdot 0.75 )}{2}

Multiply the numbers:

0.125 \cdot 0.75 = 0.09375

= \frac{ln ( 0.09375 ) \cdot 2 \cdot 0.5}{2}

Multiply:

ln (0.09375) \cdot 2 \cdot 0.5 = ln (0.09375)

= \frac{ln ( 0.09375 )}{2}

(\frac{3}{2})^{2} \cdot ln (\frac{3}{2})

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ln (0.26) - ln (0.394)

ln (3 e) - 3 ln (3)

\frac{1}{2} ln (20) - \frac{1}{2} ln (8)

What is ((ln(0.25)+ln(0.5)+ln(0.75))*2*0.5)/2 ?
The solution to ((ln(0.25)+ln(0.5)+ln(0.75))*2*0.5)/2 is (ln(0.09375))/2