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x-1-x-1-2-find-all-values-of-x-Please-step-by-step-




Question Number 110843 by dw last updated on 31/Aug/20
(x+1)^((x+1)) =(√2)      find all values of x  (Please step by step)
(x+1)(x+1)=2findallvaluesofx(Pleasestepbystep)
Answered by john santu last updated on 31/Aug/20
→ln (x+1)^((x+1)) =ln ((√2))  (x+1)ln (x+1)=ln ((√2))  e^(ln (x+1)) .ln (x+1)=ln ((√2))  →W(e^(ln (x+1)) .ln (x+1))=W(ln (√2))  ⇒ x+1 = W(ln (√2))  ⇒x = −1+W(ln (√2) )  ⇒x=−1+W(((ln 2)/2))  ⇒x=−1+0.70710678
ln(x+1)(x+1)=ln(2)(x+1)ln(x+1)=ln(2)eln(x+1).ln(x+1)=ln(2)W(eln(x+1).ln(x+1))=W(ln2)x+1=W(ln2)x=1+W(ln2)x=1+W(ln22)x=1+0.70710678
Commented by dw last updated on 31/Aug/20
Thank you Sir
ThankyouSir
Answered by Kerly last updated on 08/Jan/21
(x+1)^(x+1) =((1/(x+1)))^(−x−1) =(√2)=2^(1/2) =(2^(1/( (√2))) )^(1/( (√2))) =
(x+1)x+1=(1x+1)x1=2=212=(212)12=

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