[JEE Advanced 1986] The solution of $\log_7\log_5\left(\sqrt{x+5}+\sqrt x\right)=0$ is ____
The solution of $\log_7\log_5\left(\sqrt{x+5}+\sqrt x\right)=0$ is ____
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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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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