Exercise
$e^{x^2}=e^{4x-3}$
Step-by-step Solution
Learn how to solve exponential equations problems step by step online. Solve the exponential equation e^x^2=e^(4x-3). If the bases are the same, then the exponents must be equal to each other. Move everything to the left hand side of the equation. Factor the trinomial x^2-4x+3 finding two numbers that multiply to form 3 and added form -4. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.
Solve the exponential equation e^x^2=e^(4x-3)
Final answer to the exercise
$x=1,\:x=3$