solve the following equation: 5^x+2-2(5^x-1)=3075

Answer 1

5^x+2-2(5^x-1)=3075
5^x + 2 - 2* 5^x + 2 = 3075
-5^x = 3071
5^x = -3071
x log 5 = log -3071
well 10^log -3071 = -3071
hmmmm

Answer 2

assuming the usual carelessness with parentheses, let's go with
5^(x+2)-2(5^(x-1))=3075
5^x * 5^2 - 2(5^x / 5^1) = 3075
25*5^x - 2/5 * 5^x = 3075
123*5^x = 15375
5^x = 125
x = 3