Answer:
x = -1/3
Explanation:
3^(x + 1) = 9^(2x + 1); So we should first make 9^(2x + 1) a power of 3 so:
3^(x + 1) = 3^2(2x + 1) <-- I replaced 9 with 3^2 so then we have to multiply 2 by 2x + 1
3^(x + 1) = 3^(4x + 2)
We can then just create the equation: x + 1 = 4x + 2 (because the 3^ doesn't matter and we just want them to be equal so yeah)
We then have to simplify:
x + 1 = 4x + 2
Subtract x from both sides:
1 = 3x + 2
Subtract 2 from both sides:
-1 = 3x
Divide 3 on both sides:
-1/3 = x
There ya go
I hope this helped you! <3
