What is an exponential equation
An exponential equation is one where the unknown x appears only in exponents of powers with constant positive bases (not equal to 1 where monotonicity matters).
Typical moves: same base au(x)=av(x)⇒u(x)=v(x) (for a>0, a=1); sometimes rewrite both sides to one base using power laws.
After reducing to rational or transcendental parts, substitute back if you used nontrivial transforms (especially after combining terms).
1x=1 alone does not always let you equate exponents — be careful not to lose solution sets
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