Determine m: 4^(4m) = 4^8+4^8+4^8+4^8

Answer 1

4^(4m) = 4^8+4^8+4^8+4^8

4^(4m)=4^8(1+1+1+1)

4^(4m)=4^8.4^1

4^(4m)=4^9

4m=9

M=9/4

Answer 2

4^(4m) = 262,144
4m*Log4 = Log262144
Divide both sides by Log 4:
4m = 9
m = 9/4.