Question

What is the value of x in the following equation.1/5^x=5^8

Answer 1

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

Answer 2

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.