Question

8 to the power of x = 2
4 to the power of x = 8

Answer 1

`8^x=2\\ 2^(3x)=2^1\\ 3x=1\\ x=(1)/(3)\\\\ 4^x=8\\ 2^(2x)=2^3\\ 2x=3\\ x=(3)/(2)`

Answer 2

`\# \ 1 \\\\ 8^x=2 \\\\ (2^3)^x=2 \\\\ 2^(3x)=2 \\\\ 3x=1 \\\\ \boxed{x=(1)/(3)} \\\\\\ \# \ 2 \\\\ 4^x=8 \\\\ (2^2)^x=2^3 \\\\ 2^(2x)=2^3 \\\\ 2x=3 \\\\ \boxed{x=(3)/(2)}`