solve for x logx - log2x-1 = 1
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x ₁= 2
x ₂= − 5/ 2
Explanation:
log x + log ( 2 x + 1 ) = 1
⇒ log x ( 2 x + 1 ) = 1
⇒ 2 x ² + x = 10
⇒ 2 x ² + x − 10 = 0
Δ = 81
⇒ x ₁, ₂ = − 1 ± 9 /4
⇒ x ₁= 2
⇒ x ₂ = − 5/ 2
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