Exercise
$3^{2x}-36\cdot3^x+243\:=\:0$
Step-by-step Solution
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^(2x)-36*3^x+243=0. Rewriting the exponent 3^{2x}. We can try to factor the expression \left(3^x\right)^2-36\cdot 3^x+243 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial u^2-36u+243 finding two numbers that multiply to form 243 and added form -36.
Solve the exponential equation 3^(2x)-36*3^x+243=0
Final answer to the exercise
$x=2,\:x=3$