Final answer to the problem
$c=3$
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Step-by-step Solution
Specify the solving method
1
Rewrite the number $64$ as a power with base $4$ so that we have exponentials with the same base on both sides of the equation
$4^c=4^{3}$
2
If the bases are the same, then the exponents must be equal to each other
$c=3$
Final answer to the problem
$c=3$