x=-1
Explanation
[tex]8=2^{\left(x+4\right)}[/tex]Step 1
a)write 8 as the third power of 2, so
[tex]\begin{gathered} 8=2^{\left(x+4\right)} \\ 8=2^3,so \\ 2^3=2^{\left(x+4\right)} \end{gathered}[/tex]b)the base is the same,so the expontes are equal
[tex]\begin{gathered} 2^{3}=2^{(x+4)} \\ 3=x+4 \end{gathered}[/tex]c) finally, to isolate x subtract 4 in both sides
[tex]\begin{gathered} 3=x+4 \\ 3-4=x+4-4 \\ -1=x \end{gathered}[/tex]therefore, the answer is
x=-1
I hope this helps you
