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in Logarithm by (23.5k points)
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If logx 484 – logx 4 + logx 14641 – logx 1331 = 3, then the value of x is

(a) 1 

(b) 3 

(c) 11 

(d) None of these

1 Answer

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Best answer

(c) 11

Hint. 

logx 484 – logx 4 + logx 14641 – logx 1331 = 3 

⇒ logx (22 x 112) – logx (22) + logx (114) – logx (113) = 3 

⇒ 2 logx 2 + 2 logx 11 – 2 logx 2 + 4 logx 11 – 3 logx 11 = 3 

⇒ 3 logx 11 = 3 ⇒ logx 11 = 1 ⇒ x1 = 11 ⇒ x = 11.

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