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Maths Logarithms, Indices and Surds, Partial Fraction Indices and Surds Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The x-values satisfying the equation

= (x – 1) 7 is/are

Text Solution

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The correct answer is:

CHECK THE SOLUTION

(c, d)

L.H.S. + ve ⇒ x > 1

So log 3 x 2 – 2log x 9 = 7 or x –1=1 ⇒ x = 2

2 log 3 x – 4 – 7 = 0

2(log 3 x) 2 – 7 log 3 x – 4 = 0 ⇒ log 3 x = –1/2, 4

x = 3 –1/2 , 3 4

x = , 81

neglect because x > 1

So x = 2, 81

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