Quantitative Aptitude – Algebra – If 9^(x-1/2) – 2^(2x-2) = 4^x

Quantitative Aptitude – Algebra

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Algebra - If 9^(x-12) – 2^(2x-2) = 4^x
If 9^(x-1/2) – 2^(2x-2) = 4^x – 3^(2x-3) , then x is

A) 3/2
B) 2/5
C) 3/4
D) 4/9

Answer

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Algebra, we can see that,
You can solve the question easily by putting in values from the options given.
When we put the value of x as 3/2, it satisfies the equation. So, 3/2 is the correct answer.
Option (A)

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Quantitative Aptitude – Algebra – If 9^(x-1/2) – 2^(2x-2) = 4^x
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