Given: The equation [tex]2^{x+4} -12=20\\[/tex]
To Find: The value of x
Solution: [tex]x=1[/tex]
Calculation/Explanation:
We simplify the given equation in the usual way, as follows:
[tex]2^{x+4}-12=20\\2^{x+4}=20+12\\2^{x+4}=32\\2^{x+4}=2^{5}\\[/tex]
Now, we use the property that if two sides of the equation are equal and have the same base, then the exponents too must be equal.
So we have
[tex]2^{x+4} =2^{5}\\x+4=5\\x=1[/tex]
Therefore option B is correct, i.e., [tex]x=1[/tex]
