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Question
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
Sum
Solution
`2^(3x + 3) = 2^(3x + 1) + 48`
⇒ 23x 23 = 23x21 + 48
⇒ 23x 8 - 23x × 2 = 48
⇒ 23x (8 - 2) = 48
⇒ 23x × 6 = 48
⇒ 23x = `48/6`
⇒ 23x = 8
⇒ 23x = 23
⇒ 3x = 3
⇒ x = `3/3`
⇒ x = 1
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Solving Exponential Equations
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