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lidiya [134]
3 years ago
6

9

e=" {9}^{x} \times 16^{x } = 12" alt=" {9}^{x} \times 16^{x } = 12" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

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

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2<em>x</em> log₁₂(12) = log₁₂(12)

2<em>x</em> = 1

<em>x</em> = 1/2

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4 years ago
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