SOLUTION
Step 1 :
In this question, we are actually comparing
[tex]\begin{gathered} (16x-6)^0=90^0 \\ 16\text{ x - 6 = 90} \\ 16\text{ x = 90 + 6 } \\ 16\text{ x = 96} \\ \end{gathered}[/tex]Divide both sides by 16 , we have that :
[tex]\begin{gathered} \text{x = }\frac{96}{16} \\ x\text{ = 6} \end{gathered}[/tex]CONCLUSION :
The value of x = 6.