Solve for x if 3^x=9x
Please, help with solution
9 = 3^2, so a good choice would be x=3
3^3 = 3^2 * 3 = 3^3
4-36y=
To solve the equation 3^x = 9x, we can use a combination of algebraic manipulation and trial-and-error or an iterative method.
1. Start by simplifying the equation as much as possible. Since 3^x cannot be directly simplified, let's focus on simplifying 9x on the right side of the equation.
To simplify 9x, we can rewrite it as 3^2x. Using the property of exponents (a^m * a^n = a^(m+n)), we have:
9x = 3^2x
2. Now, we have the equation 3^x = 3^2x. To have equal bases on both sides, the exponents must be equal. Therefore, we can set the exponents equal to each other:
x = 2x
3. Subtract x from both sides to isolate the variables on one side:
0 = 2x - x
0 = x
4. The equation x = 0 indicates that x is equal to zero.
Hence, the solution to the equation 3^x = 9x is x = 0.