Question

6^a=2,6^b=5,6^c=15 then find value of c in terms of a,b​

Answer 1

Answer:

6^a * 6^b = 2*5

=> 6^(a+b) = 10

=> 6^(a+b) = 10/15 * 6^c

=> 6^(a+b-c) = 2/5

=> (a+b-c)log6 = log(0.4)

=> (a+b-c) *(0.778) = -0.3979

=> (a+b-c) = -0.511

=> c = a+b-0.511