Question:
N.B: This question is for SAT Subject Test Math Level 2
\[if \ log_a 5 = x \ and \ log_a 7 = y, \ then \ log_a \sqrt{1.4} = \]
(A) (xy)/2
(B) x/2  y (C) (x + y)/2 (D) (y  x)/2 (E) y/(2x) Answer:
The answer is D.
\[log_a\sqrt{1.4} = log_a\sqrt{\frac{7}{5}} = \frac{1}{2} (log_a 7  log_a 5) = \frac{1}{2} (y  x) \]
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