Question

abc are real no. greater than one and x belongs to r if log x base a is equal to 24 log x base b is equal to 40​

Answer 1

given                logₐ x = 24  ⇒ log x / log a = 24

                      =  log a / log x = 1/24

similarly           log b / log x = 1/40

and               log abc / log x = 1/ 12  =  log a + log b + log c / log x = 1/12

              = log c / log x = 1/12 - 1/40 - 1/24 = 1/60

               now    log x / log c = 60     =     log base(c)  x = 60