#8x=4^x#.. Find x?
2 Answers
There are two solutions:
Explanation:
Most of the time, questions of this nature are quite difficult. However, by observation, we can see that when
Is it possible that there is more than one solution? Yes.
And so another way to approach these kinds of questions is to graph the right side and the left side separately:
graph{(y-8x)(y-4^x)=0[-2,5,-5,20]}
By the graph, we can see that there is a second solution that is approximately
Explanation:
Introducing the Lambert function
https://es.wikipedia.org/wiki/Funci%C3%B3n_W_de_Lambert
we have
so
Making now
multiplying both sides by
now making