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Question
Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4
Sum
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Solution
`(2^(2x - 1))/(2^(x + 2))` = 4
`2^(2x – 1 – (x + 2))` = 22
`2^(2x – 1 – x – 2)` = 22
`2^(2x – 3)` = 22
Equating the powers of the same base 2.
x – 3 = 2
x – 3 + 3 = 2 + 3
x = 5
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Chapter 1: Numbers - Exercise 1.6 [Page 45]
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