CAT Practice : Exponents and Logarithms

Logarithm with non-integer bases are slightly trickier. Have a go at this one!

Logarithm - Inequalities

    Q.1: If log2X + log4X = log0.25 and x > 0, then x is
    1. 6-1/6
    2. 61/6
    3. 3-1/3
    4. 61/3

 

  • Correct Answer
    Choice A. 6-1/6

Detailed Solution

log2x + log4x = log0.25

log2x + = log0.25

log2x * = log0.25

log2x * 3 = 2log0.25

log2x3 = log0.256

log2x3 = -log46

log2x3 =

log2x3 =

2log2x3 = -log26

2log2x3 + log26 = 0

log26X6 = 0

6x6 = 1

x6 =

x =

Answer Choice (A)

Correct Answer: 6-1/6



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More questions from Exponents and Logarithms

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