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Question

If a,b,c0 and belong to the set {0,1,2,3...9}, then log10(a+10b+102c)(10-4a+10-3b+10-2c)


A

1

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B

2

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C

3

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D

4

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Solution

The correct option is D

4


Find the value of log10[(a+10b+102c)(10-4a+10-3b+10-2c)]:

=log10(a+10b+102c)(10-4a+10-3b+10-2c)=log10(a+10b+102c)(a+10b+102c)×104=log10(104)=4

Hence, the correct option is (D).


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