Question

al. If 2^a - 3^b = 6^c then show that c=ab/a+b​

Answer 1

Step-by-step explanation:

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

Now,

2= p^(1/a)

3= p^(1/b)

6= p^(1/c)

We Know,

2*3=6

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

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

1/a +a/b = 1/c

a+b/ab = 1/c

∴c= ab/a+b