If $$(25)^{x-3} = (125)^{2x - 3}$$, then the value of x will be​

Correct option is C

Given:

​$$(25)^{x - 3} = (125)^{2x - 3}$$​​

Solution:

$$(25)^{x - 3} = (125)^{2x - 3}\\ \ \\ \left[(5)^2\right]^{x - 3} = \left[(5)^3\right]^{2x - 3} \\ \ \\ (5)^{2x-6} = (5)^{6x-9}$$​​

Base are same, comparing power

2x - 6 = 6x - 9 

2x - 6x = -9 + 6

-4x = -3 

x = $$\frac34$$​​