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1 answer:
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Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴
∵ log(10) = 1 , 9 = 3²
∴
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244