allenh wrote:X=?
1.a^(2x)=b^(x+6)
2.ab=1
It seems that I should choose C for this one as when you combine these two statements, you will get x=-2. Since a and b are different letters, I assume they represent different numbers. I am just wondering if I need to consider a=b=1, cuz that will change the answer to E..
The problem does not indicate a and b must be distinct values.
Thus, when the statements are combined, it is possible that a=b=1.
Statements combined:
Plugging a=b=1 into a^(2x) = b^(x+6), we get:
1^(2x) = 1^(x+6).
In this case, x can be ANY VALUE.
Since the value of x cannot be determined, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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