Question 150891
{{{2^(2x)=64}}} Start with the given equation.



{{{2^(2x)=2^6}}} Rewrite 64 as {{{2^6}}}



Since the bases are equal, the exponents are equal



{{{2x=6}}} Set the exponents equal to one another.



{{{x=(6)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


So the answer is {{{x=3}}}