સમીકરણ ${\log _7}{\log _5}$ $(\sqrt {{x^2} + 5 + x} ) = 0$ નો ઉકેલ મેળવો.
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c
(c) \({\log _7}{\log _5}(\sqrt {{x^2} + 5 + x} ) = 0 = {\log _7}1\)
(c) \({\log _7}{\log _5}(\sqrt {{x^2} + 5 + x} ) = 0 = {\log _7}1\)
\( \Rightarrow \) \({({x^2} + 5 + x)^{1/2}} = 5\)
\( \Rightarrow \) \(({x^2} + x + 5) = 25\) \( \Rightarrow \) \({x^2} + x - 20 = 0\)
\( \Rightarrow \) \((x - 4)\,(x + 5) = 0\) \( \Rightarrow \)\(x = \,4,\, - 5\) ==> \(x = 4\).
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