Question

There exist positive integers A,B and C with no common factors greater than 1 such that Alog₂₀₀5 + Blog₂₀₀2 = C, then
a) A + B + C = 5
b) A + B + C = 6
c) A + B = 5
d) A = B = C

Answer 1

Answer:

refer the attachment

Step-by-step explanation:

There exist positive integers A,B and C with no common factors greater than 1 such that Alog₂₀₀5 + Blog₂₀₀2 = C, then

a) A + B + C = 5

b) A + B + C = 6

c) A + B = 5

d) A = B = C

Answer 2

There exist positive integers A,B and C with no common factors greater than 1 such that Alog₂₀₀5 + Blog₂₀₀2 = C, then

a) A + B + C = 5

b) A + B + C = 6 ✓✓

c) A + B = 5

d) A = B = C