Question

Find the approximate value of x, for this equation to be satisfied: $x^{x^{x^{x^x}}}-4=0$. Given that $(a^m{)}^n=a^{mn}$

• A. 1.41
• B. 1.92
• C. 1.54
• D. 1.732

Answer 1

The correct option is A

1.41

Go from answer options

If x =1.41 =$\sqrt{2}$ then we get
${\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{\sqrt{2}}}}}=4$
Hence the equation is satisfied.