I must solve for x for this function.
ex−20x=0
I'm not sure what to do here. I've tried this so far but it makes no sense:
ex=20xxlne=ln20+lnxxln20=lnx
I tried this as well but I'm not sure if this is right either:
ex=20xlnex=ln20xx=ln20+lnx
I've got more confidence in the second try, although I don't know how to solve for an actual number.
The answer is a decimal.
Answer
This equation cannot be solved in terms of elementary functions. You can either use numeric methods like Newton's, or solve in terms of Lambert W function:
ex−20x=020x=exxe−x=120−xe−x=−120−x=W(−120)x=−W(−120)
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