Answer:
The value of x is -8.
Step-by-step explanation:
Consider the provided equation.
\((1/5)^x=5^8\)
The above equation can be written as:
\((5)^-x=5^8\)
As we can see the base are equal, therefore the value of exponent must be equal.
Therefore,
\(-x=8\)
\(x=-8\)
Hence the value of x is -8.