Question

If 2^a=4^b=8^c and abc= 288 then 1/2a+1/4b+1/8c

Answer 1

2ᵃ = 4ᵇ = 8^ c

2ᵃ = 2²ᵇ = 2³c

a = 2b = 3c

a = a/2 = a/3

a x b c = 288

a x a/2 x a/3 = 288

a³ = 288 x 6 = 1788

a = 12

b = 12/2 = 6

c = 12/3 = 4

now 1/2a+1/4b+1/8c

= 1/(2x12) + 1/(4x6)  + 1/(8x4)

= 1/24 + 1/24 + 1/32

= (4+4+3)/90

= 11/90

= 3/24 = 1/6

Answer 2

Answer:

11/96

Step-by-step explanation:

hope this will help you folks