Question

If 2^a=3^b=4^c ,then find the relation between a,b&c

Answer 1

Answer:

a = b × [ log3/log2 ] = 2c

Step-by-step explanation:

2^a = 4^c

=> 2^a = 2^(2c)

=> a = 2c .........(i)

Now,

2^a = 3^b

log 2^a = log 3^b

a log 2 = b log 3

a = b(log3/log2) ..........(ii)

From equation (i) and (ii),

a = b × [ log3/log2 ] = 2c