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`(log)_(x-1)x (log)_(x-2)(x-1) (log)_(x-12)(x-11)=2,x` is equal to: 9 (b) 16 (c) 25 (d) none of these

A

9

B

16

C

25

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`log_((x-12)) x = 2`
` x = (x-12)^(2)`
` x ^(2) - 25_(x) + 144 = 0`
` x = 9, 16`
but ` x ne 9, x = 16`
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CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise (Single)
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  15. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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  16. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

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