please solve it correctly . I will mark as brainleist
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manjunpai2000:
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x = 1 or 2 if 64 (9ˣ) - 84(12ˣ) + 27(16ˣ) = 0
Step-by-step explanation:
64 (9ˣ) - 84(12ˣ) + 27(16ˣ) = 0
=> 64 ( 3²ˣ) - 84(4ˣ * 3ˣ) + 27(4²ˣ) = 0
=> 64 ( 3²ˣ) - 48(4ˣ * 3ˣ) - 36(4ˣ * 3ˣ) + 27(4²ˣ) = 0
=> 16(3ˣ)( 4 * 3ˣ - 3 * 4ˣ) - 9(4ˣ)(4 * 3ˣ - 3*4ˣ) = 0
=> (16(3ˣ) - 9(4ˣ) ( 4 * 3ˣ - 3 *4ˣ) = 0
4 * 3ˣ - 3 * 4ˣ = 0
=> 4/3 = (4/3)ˣ
=> x = 1
16(3ˣ) - 9(4ˣ) = 0
=> (4/3)ˣ = (16/9)
=> (4/3)ˣ = (4/3)²
=> x = 2
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