For a real number x, if 1/2, log₃(2ˣ-9)/log₃4, and log₅(2ˣ+17/2)/log₅4 are in an arithmetic progression, then the common difference is:
Question:
For a real number x, if 1/2, log₃(2ˣ-9)/log₃4, and log₅(2ˣ+17/2)/log₅4 are in an arithmetic progression, then the common difference is:
For a real number x, if 1/2, log₃(2ˣ-9)/log₃4, and log₅(2ˣ+17/2)/log₅4 are in an arithmetic progression, then the common difference is:
Options
Answer: (3) log₄(7/2)
Explanation:
Using the property of AP where 2b = a + c, and converting logarithms to base 4, we can solve for the common difference to get log₄(7/2).
Explanation:
Using the property of AP where 2b = a + c, and converting logarithms to base 4, we can solve for the common difference to get log₄(7/2).
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