We have to solve: 5(8e^2x - 3)^3 = 625 for x.
5(8e^2x - 3)^3 = 625
divide both sides by 5
=> (8e^2x - 3)^3 = 125
take the cube root of both the sides
=> 8e^2x - 3 = 5
add 3 to both the sides
=> 8e^2x = 8
divide both sides by 8
=> e^2x = 1
Any number to the power 0 is 1
=> e^2x = e^0
=> 2x = 0
=> x = 0
The solution of the equation is x = 0.
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