StephanieCrown StephanieCrown

19-07-2021
Mathematics

contestada

9
[tex] {9}^{x} \times 16^{x } = 12[/tex]

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LammettHash LammettHash

19-07-2021

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

Since 12² = 144, it follows that x = 1/2.

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2x log₁₂(12) = log₁₂(12)

2x = 1

x = 1/2

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