Question

If ab = bc = ab, then b + c always equals
(1)
1
bc
(2)
1
2
bc
(3) 1 (4) bc

Answer 1

ab = bc = ca
b+c = 2a. or 2b or 2c

Answer 2

a^b= b^c = ab

a^b = ab

Now we will take the log on both sides.

log a^b = logab

we know that log AB = log A + log B

logA^B = BlogA

bloga = loga+logb

bloga - loga = logb

(b-1) loga = logb

log^(b-1) = logb

Now we will remove the log from both sides.

a^(b-1) = b

now we will put the value of b

(a^(b-1))^c = aa^(b-1)

a^cb-c = a^(b-1)+1

bc - c = bbc−c=b  

b + c = bc  

hence, b + c = bc

hope the answer will help you so please mark me brainliest ,i acually answered this question in my internal assisment test so i got to know about the options.