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Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics

Paragraph: The loganthmic function is defined as _a x = y ( a )^y= x where x 0 . a 0 and a 1 ₁₀ x is called common logarithm, while _e x is called natural logarithm where c is an irrational quantity whose approximate value is nearly 2.71 _e x is written as x . Where base of is not written then it is assumed to be 10 . i.e., means ₁₀ X Question: Solution of the equation ( x 2 )^ ( x)^2+ x^2-2 = x

Options

  1. A10
  2. B1000
  3. C1 100
  4. Dnone of these

Correct answer

C. 1 100

Step-by-step solution

Take log both the sides on base 10 ( ₁₀ x 2 ) ( ₁₀ x )^2+2 ₁₀ x-2 = ( ₁₀ x 2 ) Let, ₁₀ x = t aligned & ( 1 2 ) (t^2+2 t -2 )= ( t 2 ) & t =2,1,-3 aligned

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