S.O.S. Mathematics CyberBoard

All,

what is (ln(x))^2 equal to?

is it something like 2ln(x)? or possibly ln(2x)? or possibly ln(x^2)?

or are we simply stuck at (ln(x))^2?

Jeff

As you say: we are stuck at .

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The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low, and achieving our mark. - Michelangelo Buonarroti

In other words: 2^x = x + 5
cannot be directly solved...even if "apparently obvious" that x=3.

x = log(x + 5) / log(2)
or
2 = (x + 5)^(1/x)

This is all similar to financial formulas where i (periodic interest rate)
has to be calculated involving periodic payments; as example,
FV = P[(1 + i)^N] / i : Future Value of $P per period for N periods
If FV, P and N are given, then i had to be determined numerically.

Jeff, thanks for reminding me that exp(x) = e^x.

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I'm not prejudiced...I hate everybody equally!