Respuesta :
The solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable x is 8.
What is the exponent of log rule?
The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
For example, let k is the number and a is the base. Thus,
[tex]a^{\log a(k)}=k[/tex]
The logarithmic equation given in the problem is,
[tex]4^{\log_4(x+8)}=4^2[/tex]
Compare the equation with the expression of exponent of log rule, we get,
[tex]x+8=4^2\\x+8=16\\x=16-8\\x=8[/tex]
Thus, the solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable x is 8.
Learn more about the rules of logarithmic function here;
https://brainly.com/question/13473114
