Question

If 2 raised to the power a = 3 raised to the power b = 6 raised to the power c, then the value of c is?

Answer 1

Answer:

c= ab/a+b

Step-by-step explanation:

Let 2^a=3^b=6^c =k

2 = k^(1/a), 3 = k^(1/b) and 6= k^(1/c)

2*3=6

k^(1/a)*k^(1/b) = k^(1/c)

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

1/a +a/b = 1/c

a+b/ab = 1/c

c= ab/a+b