Please shed some light on the following...... If x and y are both positive and log_9 x = log_12 y = log_16 (x + y), find the value of x/y. Note: log_9 x should read as log base 9 x Thanks.
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Originally Posted by madaboutmath Please shed some light on the following...... If x and y are both positive and log_9 x = log_12 y = log_16 (x + y), find the value of x/y. Note: log_9 x should read as log base 9 x Thanks. Put: Then: So: and: Therefore if , we have: which is a quadratic in , one (or more of which's solutions) should solve the problem. RonL RonL
I really appreciate your prompt help CaptainBlack. The answer is (sqrt5-1)/2. Thanks. MAM
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