How do you evaluate #0.606ln0.606 + 0.394ln0.394#?

1 Answer
Truong-Son N.
Aug 12, 2017

Well, to evaluate this, there is no easier way than to put it into your calculator. These numbers are decimals, which are difficult to do in your head.

#ln# is the natural logarithm, and has base #e = 2.718281828cdots#. This function is defined so that for

#ln (a) = c#,

#e^c ~~ 2.718281828^c = a#.

There should be a #ln# button, or option, on your calculator somewhere. Once you find it,

#0.606 xx ln 0.606 + 0.394 xx ln 0.394#

#= (0.606 xx ln 0.606) + (0.394 xx ln 0.394)#

#= [0.606 xx (-0.5009)] + [0.394 xx (-0.9314)]#

#= -0.3035 + (-0.3670)#

#= color(blue)(-0.6705)#

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