Answer:
2
Step-by-step explanation:
Let's find the value of "x"
The equation [tex]\log_x(256)=8[/tex] means that x is the base of the logarithm and 256 is the argument (the value being logged).
Using the definition of logarithms, we can rewrite the equation as:
256 = x^8
x = 256^(1/8)
the 8th root in order to find x just like when: x^2 = 100
x = √100 also known as x = 100^(1/2)
x = 2
Therefore, the value of "x" simplifies to:
[tex]\boxed{\boxed{x=2}}[/tex]
