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1) The given expression is
log4 64 = m
64 is expressed as 4^3
Thus, the given expression is
log4 4^3 = m
Recall
Logb m^k = kLogb m
where b is the base
Thus, our expression is
3Log4 4
Also,
Logb b = 1
Thus,
log4 4 = 1
3 * 1 = 3
Thus,
m = 3