If x is a real number such that log35 = log5(2 + x), then which of the following is true?
Explanation:
Given log35 = log5(x + 2) Now log33 < log35 < log39
∴ 1 < log35 < 2 ⇒ 1 < log5(x + 2) < 2 ⇒ log55 < log5(x + 2) < 2log55 ⇒ log55 < log5(x + 2) < log525 ⇒ 5 < 2 + x < 25 ⇒ 3 < x < 23
Hence, option (d).
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