Question

2^a=3^b=6^c value of c ??????????????????

Answer 1

Given, 2^a = 3^b = 6^c 


It can be written as,


2 = 6^(c/a) and 3 = 6^(c/b) 


On multiplying both, we get


6 = 6^( c/ a+ c/b) 


1 = c/a + c/b 


1 = c(1/a + 1/b)


= c(a+b)/(ab) 

 
c = ab/(a+b)


Hope this helps!