Question Number 195251 by Spillover last updated on 28/Jul/23
![If x^([16(log _5 x)^3 −68log _5 x]) =5^(−16) then Find the the product of x](https://www.tinkutara.com/question/Q195251.png)
$${If}\:\:{x}^{\left[\mathrm{16}\left(\mathrm{log}\:_{\mathrm{5}} {x}\right)^{\mathrm{3}} −\mathrm{68log}\:_{\mathrm{5}} {x}\right]} =\mathrm{5}^{−\mathrm{16}} \: \\ $$$$\:{then}\:{Find}\:{the}\:{the}\:{product}\:{of}\:{x} \\ $$$$ \\ $$
Commented by Frix last updated on 28/Jul/23
$${x}=\mathrm{5}^{\pm\frac{\mathrm{1}}{\mathrm{2}}} \vee{x}=\mathrm{5}^{\pm\mathrm{2}} \\ $$$$\Pi{x}=\mathrm{1} \\ $$