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The number of solution of log(4)(x-1) = ...

The number of solution of `log_(4)(x-1) = log_(2)(x-3)` is

A

3

B

2

C

5

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
The number of …………
`log_(4)(x-1) = log_(2)(x-3) :. X gt 3`
`:. Sqrt(x-1) = x-3`
`x - 1=x^(2)-6x+ 9 i.e. x^(2)-7x+10=0`
Hence x = 5 is the only solution.
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