CAT Practice : Exponents and Logarithms

Its amazing how many questions one can solve in the exam knowing only the very basics.

Logarithm - Simple

    Q.2: log9 (3log2 (1 + log3 (1 + 2log2x))) = . Find x.
    1. 4
    2. 1
    3. 2

 

  • Correct Answer
    Choice D. 2

Explanatory Answer

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Detailed Solution

log9 (3log2 (1 + log3 (1 + 2log2x)) =
3log2(1 + log3(1 + 2log2x)) = 91/2 = 3
log2(1 + log3(1 + 2log2x) = 1
1 + log3(1 + 2log2x) = 2
log3(1 + 2log2x) = 1
1 + 2log2x = 3
2log2x = 2
log2x = 1
x = 2
Answer choice (D)

Correct Answer:2



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More questions from Exponents and Logarithms

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