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
- A10
- B1000
- C1 100
- 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