CAT | Logarithms & Exponents

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Q #1
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#### CAT Exponents and Logarithms: Inequalities

If log2X + log4X = log0.25?6 and x > 0, then x is

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Q #2
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#### CAT Exponents and Logarithms: Simple

log9 (3log2 (1 + log3 (1 + 2log2x))) =

1/2. Find x.
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Q #3
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#### CAT Exponents and Logarithms: Quadratic Equations

If 22x+4 – 17 × 2x+1 = –4, then which of the following is true?

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Q #4
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#### CAT Exponents and Logarithms: Algebra

If log1227 = a, log916 = b, find log8108.

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Q #5
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#### CAT Exponents and Logarithms: Inequalities

(log3(x-3))/(log3(x-5)) < 0. If a, b are integers such that x = a, and x = b satisfy this inequation, find the maximum possible value of a � b.

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