(1/5)^x-1-(1/5)x+1=4.8 5*(1/2)^x-3+(1/2)^x+1=162

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To solve these equations, we can start by simplifying them individually.

First equation:
(1/5)^(x-1) - (1/5)x + 1 = 4.8

Rearrange the equation:
(1/5)^(x-1) = (1/5)x + 3.8

Now, rewrite everything in terms of powers of 1/5:
((1/5)^(x))/5 = (1/5)x + 3.8

((1/5)^(x))/5 = (1/5)x + 3.8

Now, we can simplify the second equation:

5 * (1/2)^(x-3) + (1/2)^(x+1) = 162

First, simplify:
5 * (1/2)^(x-3) + (1/2)^(x) / 2 = 162

Rearrange:
5 * (1/2)^(x-3) + (1/2)^(x) = 324

Now both equations are simplified and we can solve them simultaneously.