To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
[tex] 5^{(x-9)} =0.2 [/tex]
2. To calculate the value of [tex] x [/tex] you must apply logarithm at both sides and then you must solve for [tex] x [/tex] by applying the logarithms properties, as, following:
[tex] log(5)^{(x-9)} =log(0.2) [/tex]
[tex] (x-9)log(5)=log(0.2)\\ x-9=\frac{log(0.2)}{log(5)} \\ x=-1+9\\ x=8 [/tex]
The answer is: [tex] x=8 [/tex]
