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Question

The number of real values of x, satisfying 32log3x2x3=0 is

A
0
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B
1
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C
2
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D
more than 2
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Solution

The correct option is B 1
32log3x2x3=0
For the log to be defined,
x>0 (1)

Now, 3log3x22x3=0
x22x3=0 (alogab=b)(x3)(x+1)=0x=3 (x>0)

Hence, there is only one solution of the given equation.

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