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
$c=3$
Explore different ways to solve this problem
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more