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Quiz Begins Here

Q #1

⏰ 00:00

CAT Exponents and Logarithms: Inequalities

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If log₂X + log₄X = log_0.25?6 and x > 0, then x is

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6^-1/6

That's right

6^1/6

That's Wrong

3^-1/3

That's Wrong

6^1/3

That's Wrong
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Solution

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Q #2

⏰ 00:00

CAT Exponents and Logarithms: Simple

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

1/2. Find x.
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1/2

That's Wrong

That's right

That's Wrong

That's Wrong
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Solution

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Q #3

⏰ 00:00

CAT Exponents and Logarithms: Quadratic Equations

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

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None of these

That's Wrong

x can be either a positive value or a negative value

That's right

x is a negative value

That's Wrong

x is a positive value

That's Wrong
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Solution

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Q #4

⏰ 00:00

CAT Exponents and Logarithms: Algebra

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

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2(a+3)/3a

That's Wrong

2(b+3)/3a

That's Wrong

2(b+3)/3b

That's right

2(a+3)/3b

That's Wrong
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Solution

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Q #5

⏰ 00:00

CAT Exponents and Logarithms: Inequalities

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(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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200

That's Wrong

214

That's right

216

That's Wrong

203

That's Wrong
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Solution

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