To solve for x, we can simplify the right side of the equation first by using the property of exponents that states when multiplying numbers with the same base, you can add the exponents.
3^(3x-10) = 3^x * 3^4
3^(3x-10) = 3^(x + 4)
Since the bases are the same on both sides of the equation, we can set the exponents equal to each other:
3x - 10 = x + 4
Now, we can solve for x:
3x - 10 = x + 4
3x - x = 10 + 4
2x = 14
x = 7
Therefore, the solution for x is 7.
Solve for x.
3^(3x-10) = 3^x * 3^4
1 answer