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

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

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simplify ((ln(0.25)+ln(0.5)+ln(0.75))20.25)/2

simplify

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

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

Decimal Notation

- 0.59178 \dots

Solution steps

\frac{( ln ( 0.25 ) + ln ( 0.5 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.25}{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 0.25 ( 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 0.25}{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 0.25 ln ( 0.125 \cdot 0.75 )}{2}

Multiply the numbers:

0.125 \cdot 0.75 = 0.09375

= \frac{ln ( 0.09375 ) \cdot 2 \cdot 0.25}{2}

Multiply the numbers:

2 \cdot 0.25 = 0.5

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

\frac{ln ( 5.999 ) - ln ( 6 )}{5.999 - 6}

ln (3.5 \cdot 1 0^{- 14})

2 - 0.009 lo g_{10} (\frac{1.3 9 ^{2}}{4.9 3 ^{3}})

lo g_{2} (\frac{4000000}{\frac{1}{65536 \cdot 4000000} \cdot 1})

\frac{1}{3} ln (\frac{91}{30})

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