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Question 33Asked in BPSC TRE 2.0 (2023) Mathematics Class 9-10 (Re-exam)

If 5^(x + 3) = 25^(3x − 4), then the value of x isयदि 5^(x + 3) = 25^(3x − 4), तो x का मान है

यदि 5^(x + 3) = 25^(3x − 4), तो x का मान है
  1. A5/115/11
  2. B11/511/5
  3. C11/311/3
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) 11/511/5

Explanation

25^(3x − 4) = 5^(6x − 8), so x + 3 = 6x − 8, giving 5x = 11 and x = 11/5.25^(3x − 4) = 5^(6x − 8), अतः x + 3 = 6x − 8, यानी 5x = 11 और x = 11/5।

From BPSC TRE 2.0 (2023) Mathematics Class 9-10 (Re-exam) — Previous Year Paper

This is question 33 of BPSC TRE 2.0 (2023) Mathematics Class 9-10 (Re-exam) — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.