Question

I need help please!!

Answer 1

x =2

Explanation:

`9^{(1)/(2) } \cdot 9^{(1)/(2) } = \sqrt[x]{81} \\\\\mathrm{Convert\:to\:base\:}9^{(1)/(2)}\cdot \:9^{(1)/(2)}:\quad 9^{(1)/(2)}\cdot \:9^{(1)/(2)}=\left(9^{(1)/(2)}\cdot \:9^{(1)/(2)}\right)^{2\cdot (1)/(x)}\\\\9^{(1)/(2)}\cdot \:9^{(1)/(2)}=\left(9^{(1)/(2)}\cdot \:9^{(1)/(2)}\right)^{2\cdot (1)/(x)}\\\\\mathrm{If\:}a^(f\left(x\right))=a^(g\left(x\right))\mathrm{,\:then\:}f\left(x\right)=g(x)\\\\1=2\cdot (1)/(x)\\\\Simplify\\`

`1=(2)/(x)\\\\\mathrm{Solve\:}\:1=(2)/(x):\quad x=2`