SUMMARY
The equation x3^(2x+1) = 9x has two solutions: x = 0 and x = 1/2. By substituting x = 0 into the equation, it confirms that zero is indeed a solution. The transformation of the equation to x(3^(2x+1) - 9) = 0 allows for the identification of the solutions through factoring. This method simplifies the process of finding solutions without unnecessary division by x.
PREREQUISITES
- Understanding of exponential equations
- Basic algebraic manipulation skills
- Familiarity with factoring techniques
- Knowledge of the properties of exponents
NEXT STEPS
- Study methods for solving exponential equations
- Learn about the properties of logarithms for solving equations
- Explore advanced factoring techniques in algebra
- Investigate graphical methods for visualizing solutions to equations
USEFUL FOR
Students, educators, and anyone interested in algebraic problem-solving, particularly those focusing on exponential equations and their solutions.