Mathematics
Solve for x:
9 × 3x = (27)2x - 5
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Answer
Given,
⇒ 9 × 3x = (27)2x - 5
⇒ 32 × 3x = (33)(2x - 5)
⇒ 3(x + 2) = 3(6x - 15)
Equating the exponents,
⇒ x + 2 = 6x - 15
⇒ 6x - x = 15 + 2
⇒ 5x = 17
⇒ x = .
Hence, x = .
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