You want to know why x = 3/5 is a solution for 4^(5x-3) = 1.

Now in 4^(5x-3) = 1, the solution of x is a value that if substituted for x makes the right hand side equal to the left hand side.

If we substitute x = 3/5 in the left hand side, we get

4^(5x-3)

=> 4^(5*(3/5)-3)

=> 4^(3 - 3)

=> 4^0

=> 1

This is equal to the right hand side.

Therefore we know that x = 3/5 is a solution for the equation 4^(5x-3) = 1.

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