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Post-UTME Mathematics 2019 Objective — Question 24

Question 24 of 50 from the Post-UTME Screening (Post-UTME) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

What is the value of x satisfying the equation 4^(2x)/4^(3x) = 2?

A. -2
B. -1/2Correct
C. 1/2
D. 2

Explanation

4^(2x-3x) = 2 gives 4^(-x) = 2^1; since 4=2², 2^(-2x)=2^1, so -2x=1, x=-1/2.

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