Find the value of x satisfying the equation log a x-log -a x-log -a x-log -a x-a-1-2-

Log_a x + 2log_a x + .............+ alog_a x = a + 1/2 ⇒ log_a x(1 + 2 + ........ + a) = a + 1/2 ⇒ log_a x. a(a + 1)/2 = a + 1/2 ⇒ x = a^1/a ...

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Roots of Quadratic Equation

Find the valu...

Question

Find the value of x satisfying the equation $l o g_{a} x + l o g_{\sqrt{a}} x + l o g_{\sqrt[3]{a}} x + . . . . . . . . . . l o g_{\sqrt[a]{a}} x$ = $\frac{a + 1}{2}$ .

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