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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