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solve the equation for x so the idea is here to write x in a better way because x is equal to log base 4 of 64. so the trick is to do the following so this means that 4 to the x is equal to 64. so you can write it that way using properties so 4 to the x equals 64. and then we want to write 4 64 is 4 to a power so 64 is 4 cubed and so you see that x must be equal to 3 so x is equal to 3. thatamp;#39;s it