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Question

The value of given expression is 6+log321324-1324-132.....


A

4

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B

5

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C

7

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D

None of these

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Solution

The correct option is A

4


Explanation for the correct option:

Find the required value.

Given:6+log321324-1324-132.....

Let y=6+log321324-1324-132.....

and x=1324-1324-132.....

x=1324-x32x=4-x32x2=4-x218x2=4-x18x2+x-4=018x2+9x-8x-4=09x2x+1-4(2x+1)=09x-42x+1=0x=49orx=-12

But x=1324-1324-132..... can not be negative

x=49

Now,

y=6+log32x

=6+log3249=6+log3232-2=6+(-2)log3232=6-21=6-2=4

Hence, option A is correct .


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