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Question Number 62998 by mr W last updated on 27/Jun/19

Solve for x:  5^x +6x=7

Solveforx:5x+6x=7

Commented by mr W last updated on 27/Jun/19

Equation like this can be solved using  Lambert W function as following:

EquationlikethiscanbesolvedusingLambertWfunctionasfollowing:

Commented by mr W last updated on 27/Jun/19

Commented by Tawa1 last updated on 27/Jun/19

God bless you sir

Godblessyousir

Commented by Tawa1 last updated on 28/Jun/19

(1) Can we evaluate something like this sir:     W[− ln(2)]    (2) And is there anything like     W_n (ln 2),  n ∈ Z.  Does that mean we can evaluate something like this:  W_2 (ln 2)

(1)Canweevaluatesomethinglikethissir:W[ln(2)](2)AndisthereanythinglikeWn(ln2),nZ.Doesthatmeanwecanevaluatesomethinglikethis:W2(ln2)

Commented by Cheyboy last updated on 28/Jun/19

I don′t so sir you need an online calculator  for that

Idontsosiryouneedanonlinecalculatorforthat

Commented by Cheyboy last updated on 28/Jun/19

Welldon Mr W  Nice working

WelldonMrWNiceworking

Commented by mr W last updated on 28/Jun/19

To Tawa 1 sir:  some special values exist, see picture.  other values must be calculated.  W(−(√2)) is no real value.  i don′t know what you mean with W_n .

ToTawa1sir:somespecialvaluesexist,seepicture.othervaluesmustbecalculated.W(2)isnorealvalue.idontknowwhatyoumeanwithWn.

Commented by mr W last updated on 28/Jun/19

Commented by Tawa1 last updated on 28/Jun/19

God bless you sir

Godblessyousir

Commented by Tawa1 last updated on 30/Jun/19

Sir,  help me see this.

Sir,helpmeseethis.

Commented by Tawa1 last updated on 30/Jun/19

Sir,  help me see this.       x^x^x    =  16

Sir,helpmeseethis.xxx=16

Commented by Tawa1 last updated on 30/Jun/19

Am sorry for taking your time sir

Amsorryfortakingyourtimesir

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