Explain your answer and give counter example if needed.

## If x, a and b are a real numbers and x^a = x^b, does this implies a = b??

Tutors, please sign in to answer this question.

# 2 Answers

x=1, a=6, b=7;

1

^{6}=1; 1^{7}=1; So, x=1, a≠b, but x^{a}=x^{b}. That is, x^{a}=x^{b}does not necessarily implies a=b.Hi Harry,

What if x=0? Must a and b be equal then?