Question

5^x−9=0.2
solve for x
Note that x-9 is part of the exponent

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

`5^((x-9)) =0.2`

2. To calculate the value of
`x` you must apply logarithm at both sides and then you must solve for
`x` by applying the logarithms properties, as, following:

`log(5)^((x-9)) =log(0.2)`

`(x-9)log(5)=log(0.2)\\ x-9=(log(0.2))/(log(5)) \\ x=-1+9\\ x=8`

The answer is:
`x=8`