Verified Answer :

I can't solve that by graphing but I'll try logarithms:
log(7)4 = 2x
log(7)/log(4) = 2x
1.403 = 2x
x = 0.702

Answer:

0.702 is the solution of this function.

Step-by-step explanation:

We have

           \(4^{2x}=7\\\\4^{2x}-7=0\)

Let us plot \(y=4^{2x}-7\) when y value of this function is zero then that is the solution of \(4^{2x}=7\)

Refer the figure given, we have at x = 0.702 y value is zero that is 0.702 is the solution of this function.

         

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