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2^x = x^2 supplementary?
x=2 : 2^2 = 4 = 2^2
x=4 : 2^4 = 16 = 4^2
are both solutions
why can't I see them as zeros in graph of xln(2) - 2ln(x) ?
duh ... I had x*ln(2)-2^ln(x) in excel!
but corrected now, and I dont see any smell of a zero other than 2 or 4
4 Answers
- Dr DLv 71 decade agoFavorite Answer
Maybe it's because you didn't draw the graph.
For x < 2, the function x*ln(2) - 2*ln(x) is positive
For x > 4, it is positive again
for 2 < x < 4, the function is negative.
You should see them as zeros in the graph.
- Anonymous1 decade ago
Because you're not graphing it right?
x=2 â 2ln2 - 2ln2 = 0.
x=4 â 4ln2 - 2ln4 = ln(2^4 / 4^2)
= ln(16/16) = ln1 = 0.
- tomLv 51 decade ago
On my graph plotter, I can...
Perhaps you need to change the window/resolution of whatever you are graphing with.