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Question Number 172176 by Mikenice last updated on 23/Jun/22

solve: 2^n +n=4

solve:2n+n=4

Answered by mr W last updated on 24/Jun/22

16×2^(n−4) =4−n 16 e^((n−4)ln 2) =4−n 16 ln 2=[(4−n) ln 2]e^((4−n)ln 2) (4−n)ln 2=W(16 ln 2) ⇒n=4−((W(16 ln 2))/(ln 2))≈4−((1.811771)/(ln 2))=1.386

16×2n−4=4−n16e(n−4)ln2=4−n16ln2=[(4−n)ln2]e(4−n)ln2(4−n)ln2=W(16ln2)⇒n=4−W(16ln2)ln2≈4−1.811771ln2=1.386

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