Question

1) 8^ (2/x)=4 solve for x
2)25^ (1/x+3) = 1/5 solve for x

Answer 1

9/5

Explanation:

Edge

Answer 2

1)

`8^{(2)/(x)}=4\\\\2^{3((2)/(x))}=2^(2)\\\\ (6)/(x)=2\\\\ (6)/(2)=x=3`

2)

`\displaystyle 25^{\left((1)/(x)+3\right)}=(1)/(5)\\\\ 5^{2\left((1)/(x)+3\right)}=5^(-1)\\\\ 2\left((1)/(x)+3\right)=-1\\\\ (2)/(x)=-7\\\\ (2)/(-7)=x=-(2)/(7)`

or

`\displaystyle 25^{\left((1)/(x+3)\right)}=(1)/(5)\\\\ 5^{2\left((1)/(x+3)\right)}=5^(-1)\\\\ 2\left((1)/(x+3)\right)=-1\\\\ (2)/(-1)=x+3\\\\ -5=x`