 #1
chwala
Gold Member
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 287
 Homework Statement:

I got this problem from wikipedia, the problem is on the attachment.
Solve the equation ##3^x=2x+2## using the Lambert W function.
 Relevant Equations:
 Lambert W function
it really took me time to figure out as to how that equation in aterisk was arrived at...i just noted that both sides of the equation were multiplied by ##\frac {1}{3}## any particular reason for that? what is the common thinking around that? can one multiply both sides by say ##\frac {1}{6}##? i am encountering this lambert for the first time and i really want to understand how it works...i would appreciate guidance leading to solution. Can one use the ti nspire to find the Lambert W value, in reference to the very last step leading to ##0.79011## and ##1.44456##?
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