Can We Solve An Exponential Equation? 😁

[@ronbannon]

Let f(x) be the left-hand side of this equation. It is easy to show that f(x) is concave up everywhere and has a minimal point at x=0 and f(0)=3.

[@dakcom-mk6mp]

Nice

[@mr.d8747]

*What about complex solutions?*

[@tunistick8044]

this

[@tunneloflight]

easier. by observation the LHS is uniformly increasing with x. Since any positive value to the 0 power equals 1, by observation x must = 0, and no other real solution is possible.

[@michaelpurtell4741]

I have watched your video several times and still do not understand why ABC need be equal.

[@yogesh193001]

a=2^x,b=3^x
a+a/b+b/a^2 =3
ba^3+a^3+b^2-2ba^2=0
(1+b)a^3-2ba^2+b^2=0
b^2+(a^3-2a^2)b +a^3=0
b=(-a^3+2a^2+-sqrt((a^3-2a^2)^2-4a^3))/2

[@phill3986]

😊🎉👍👍👍🎉😊