Question

1) 5 ˣ⁺¹+5ˣ = 750 2) 5ˣ>625 3) 5ˣ⁺2=125

Answer 1

1
5^x*(5+1)=750
6*5^x=750
5^x=125
x=3
2
5^x>5^4
x>4
x∈(4;∞)
3
x+2=3
x=1

Answer 2

1)
5^(x+1)+5^(x)=5³*6
6*5³=6*5^(x)
x=3

2)
5^x>5⁴
x>4
x∈(4;∞)

3)
5^(x+2)=125
5^(x+2)=5³
x+2=3
x=1