5^{(x + 3)} = 25^{(3x - 4)}, then find the value of x

A. $$\frac{{11}}{5}$$

B. $$\frac{5}{{11}}$$

C. $$\frac{{13}}{5}$$

D. $$\frac{5}{{13}}$$

Answer: Option A

Solution(By Examveda Team)

5^{(x + 3)} = 25^{(3x - 4)}
Or, 5^{(x + 3)} = 5^{2 × (3x - 4)}
Now, comparing the powers,
(x + 3) = 2 × (3x - 4)
Or, x + 3 = 6x - 8
Or, 6x - x = 8 + 3
Or, 5x = 11
Hence, x = $$\frac{{11}}{5}$$