Question

If log₂ [log₇(x² – x + 37)] = 1, then what could be the value of x ?

(a) 3 

(b) 5 

(c) 4 

(d) None of these

Answer 1

(c) 4

log₂ [log₇(x² – x + 37)] = 1 

⇒ log₇(x² – x + 37) = 2¹ = 2 

⇒ x² – x + 37 = 7² = 49 ⇒ x² – x – 12 = 0 

Now solve for x.