How would solve equation 4^(x^2-4)=1024?

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The equation `4^(x^2-4)=1024` has to be solved

`4^(x^2-4)=1024`

=> `4^(x^2-4)= 4^5`

As the base is the same equate the exponent

`x^2 - 4 = 5`

=> `x^2 = 9`

=> `x = +-3`

**The solution of the equation `4^(x^2-4)=1024` is **`+-3`

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