For how many distinct real values of $x$ does the equation belo… | XAT 2025 Question Paper

XAT 2025Quantitative AbilityLogarithms, Surds and IndicesHARD+1 / −0.25

For how many distinct real values of $x$ does the equation below hold true? (Consider $a$ > 0.)
$\dfrac{x^2 \log_a(16)}{\log_a(32)} - \dfrac{\log_a(64)}{\log_a(32)} - x = 0$

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XAT 2025Quantitative AbilityLogarithms, Surds and IndicesHARD+1 / −0.25

For how many distinct real values of $x$ does the equation below hold true? (Consider $a$ > 0.)
$\dfrac{x^2 \log_a(16)}{\log_a(32)} - \dfrac{\log_a(64)}{\log_a(32)} - x = 0$

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2025 Question Paper with real exam interface and instant grading.

View Paper →