If logx 2401 – log3729
= -4; find x
solution
logx 2401 – log3729
= -2
logx 2401 – log336
= -2
logx 2401 – 6log33
= -2
logx 2401 – 6 x 1
= -2
logx 2401 – 6 = -2
logx 2401 = -2 + 6
logx 2401 = 4
2401 = x4 2401=7x7x7x7=74 by prime
factors
74 = x4
Powers cancel out
x = 7
Hence x = 7.
TRY
THIS………….
If logm2048 – log6216
= 8; find m
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