What is the value of 'a' for which (log_a 7)/(log_6 7) = log_pi 36 holds good, is ?
(A) 1/pi
(B) pi^2
(C) sqrtpi
(D) 2
(A)
(B)
(C)
(D) 2
1 Answer
Jun 13, 2018
C
Explanation:
From the formula for changing logarithm bases, you have
Dividing both sides by
Inverting both sides:
So, you have
The equation becomes
Using the property
The equation becomes
By the same logic as before, you have
Which, by befinition, means that