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Question
Solve for x:
9x+4 = 32 x (27)x+1
Solution
9x+4 = 32 x (27)x+1
⇒ 9x+4 = 32 x (33)x+1
⇒ `3^(2(x+4) = 3^2 xx 3^(3x+3)`
⇒ `3^(2x+8) = 3^(2+3x+3)`
⇒2x + 8 = 2 + 3x + 3
⇒ 2x + 8 = 3x + 5
⇒ x = 3.
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