Answer:
x = 1017
Step-by-step explanation:
Rewrite the number 5 as a logarithm of base 4.
[tex]\log_{4}\left(x+7\right)= log_{4} (1024)[/tex]
For two logarithms of the same base to be equal, their arguments must be equal. In other words, if [tex]\log(a)=\log(b)[/tex] then a must equal b.
[tex]x + 7 =1024\\x = 1024 - 7\\x = 1017[/tex]
