Question

Solve 8 = 2^(x + 4), (x+4 is exponent)

Answer 1

x=-1

Step-by-step explanation

`8=2^(\left(x+4\right))`

Step 1

a)write 8 as the third power of 2, so

`\begin{gathered} 8=2^(\left(x+4\right)) \\ 8=2^3,so \\ 2^3=2^(\left(x+4\right)) \end{gathered}`

b)the base is the same,so the expontes are equal

`\begin{gathered} 2^(3)=2^((x+4)) \\ 3=x+4 \end{gathered}`

c) finally, to isolate x subtract 4 in both sides

`\begin{gathered} 3=x+4 \\ 3-4=x+4-4 \\ -1=x \end{gathered}`

therefore, the answer is

x=-1

I hope this helps you