Question

If 5 raise to (2x-1) - 25 raise to (x-1)= 2500, then find the value of x

Answer 1

Step-by-step explanation:

The correct problem is given here. there is no leading - in the beginning.

+ 5^{2x-1} - 25^{x-1} = 2500 \\ \\ + 5^{2x-1} - 5^{2x-2} = 5^2 * 25 * 4 \\ \\ + 5^{2x-1} [1 - 5^{-1}] = 5^4 * 2^2 \\ \\ 5^{(2x-1)} \frac{4}{5} = 5^4 2^2 \\ \\ 5^{2x-1} = 5^5 \\ 2x -1 = 5 \\ x = 3 \\