Which number best replaces the question mark? 2, 3, 8, 63, ?
2 answers:
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Answer:
The value of x = -0.46
Step-by-step explanation:
∵ ÷
∴
* Subtract the power of the same bases
∴
* Let
∴
∴ 4y² - 1 = -3y
∴ 4y² + 3y - 1 = 0 ⇒ factorize
∴ (4y - 1)(y + 1) = 0
∴ y + 1 = 0 ⇒ y = -1
∴ 4y - 1 = 0 ⇒ 4y = 1 ⇒ y = 1/4
∵
∴ y = -1 refused ( never gives -ve value)
∴ ⇒ insert <em>ln</em> in both sides
∵ ⇒ <em>ln</em>(e) = 1
∴ 3xln(e) = ln(1/4)
∴ 3x = ln(1/4)
∴ x = [ln(1/4)] ÷ 3 = -0.46