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