If 2 to the power a = 3 to the power b = 6 to the power c, find the relation between a, b, c .

Open in App

Solution

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

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

23=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

Suggest Corrections

Similar questions

if 2160=2power a*3power b*5power c find value of a b c

The relation between x, y and z where x = 81, y = 4 and z = 3 written in the exponential form is :

If a + 2b is equal to 5 then show that a raise to power 3 + 8b to the power 3 + 30ab is equal to 125

Verify that : X to the power 3 + y to the power 3 + z to the power 3-3xyz=1\2(x+y+z)[(x-y)to the power 2+(y-z) to the power 2+(z-x) to the power 2

Join BYJU'S Learning Program