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  4. The equation ( log 8(8 / x2)/( log 8 x)2)=3 has

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Q. The equation $\frac{\log _8\left(8 / x^2\right)}{\left(\log _8 x\right)^2}=3$ has

Continuity and Differentiability

Solution:

$ \frac{1-2 y }{ y ^2}=3 \left(\log _8 x = y \right) $
$3 y ^2+2 y -1=0 \Rightarrow 3 y ^2+3 y - y -1=0 \Rightarrow 3 y ( y +1)-1( y +1)$
$\log _8 x = y =1 / 3,-1 \Rightarrow x =2,1 / 8$