Wednesday, 31 August 2022

LOGARITHMS F2

 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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