XAT · 2024 · Question 4 of 28

XAT 2024 QADI Question 4 · Algebra - Logarithms

Answer it first: the answer and the solution appear right after.

Q4 Algebra - Logarithms MULTIPLE CHOICE

Consider the equation , where x is a real number log5(x - 2) = 2log25(2x - 4).

For how many different values of x does the given equation hold?

→The number of distinct integers \(n\) for which \(\log _{\left(\frac{1}{4}\right)}\left(n^2-7 n+11\right)>0\)…CAT 2025 QA Slot 1 →If \( \log _ { 64 } x ^ { 2 } + \log _ { 8 } \sqrt { y } + 3 \log _ { 512 } ( \sqrt { y } z ) = 4 \), where \…CAT 2025 QA Slot 2 →The sum of all possible real values of \( x \) for which \( \log _ { x - 3 } \left( x ^ { 2 } - 9 \right) = \…CAT 2025 QA Slot 3 →For how many distinct real values of \(x\) does the equation below hold true? (Consider \(a > 0\)) \[ \frac{x…XAT 2025 QADI

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