This may seem to be a very easy question, but make sure you dont do it in your head for two reasons

1) Dont Tax your brain, with additional computation to be geared up for english section

2) Avoid Silly Mistakes

Let us factor out the LHS

=> 5^X - 5^ ( x - 3)

=> 5^x - ( ( 5^x ) / ( 5^3) )

=> 5^x ( 1 - 1/ 125 ) ----- Taking 5^x as common and 5^3 = 125

=> 5^x ( 124 / 125)

Comparing from RHS . 124 gets cancelled out. The exponent of 5 has be equal on both sides. so

y = x - 3

Hence the asnwer is C

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