Question

5 ˣ⁺⁶- 3 ˣ⁺⁷ = 43 ∙ 5 ˣ⁺⁴ - 19 ∙ 3 ˣ⁺⁵

Answer 1

5^(x+6)-43*5^(x+4)=3^(x+7)-19*3^x+5)
5^(x+4)*(5²-43)=3^(x+4)*(3³-19*3)
5^(x+4)*(25-43)=3^(x+4)*(27-57)
-18*5^(x+4)=-30*3^(x+4)
(5/3)^(x+4)=5/3
x+4=1
x=-3