JEE PYQ

[JEE Advanced 1986] the solution of log 7 log 5 sqrt x 5 sqrt x 0 is

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The solution of $\log_7\log_5\left(\sqrt{x+5}+\sqrt x\right)=0$ is ____

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VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: $x=4$.

$\log_5(\cdots)=1\Rightarrow\sqrt{x+5}+\sqrt x=5$; with $\sqrt{x+5}-\sqrt x=1$ this gives $\sqrt x=2$, so $x=4$.

JEE Advanced 1986 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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