Final answer:
To solve the equation 3^12 + 7x = 3^6x + 4x for x, follow these steps: combine like terms, rewrite the equation using exponent properties, factor out a common term, and divide both sides to isolate x. The solution is x = 0.
Step-by-step explanation:
To solve the equation 312 + 7x = 36x + 4x for x, we can follow these steps:
- Combine like terms on both sides of the equation. This gives us 312 - 36x - 11x = 0.
- Use properties of exponents to rewrite the equation. We can subtract 36x from both sides to get 312 - 36x = 11x.
- Factor out the common term 36x from both terms on the left side. This gives us 36x(36 - 1) = 11x.
- Divide both sides of the equation by (36 - 1) to isolate x. This gives us x = 0.