Question

5^x+5^x-1-5^x-2>145

Answer 1

5^x + 5^(x - 1) - 5^(x - 2) > 145
5^x + 5^x*1/5 - 5^x*1/25 > 145
5^x (1 + 1/5 - 1/25) > 145
5^x * 29/25 > 145
5^x  > 145 / (29/25)
5^x > 145 * 25/29
5^x > 125
5^x > 5^3
x > 3
x ∈ (3; + ∞)