Plot[{(x^2)×(Sin[10Log[x]]+1) + 1000000000x,(x^2)×(Cos[10Log[x]]+1) + 1000000000x},{x, 1, 1000000000}]

Plot[{Max[(x^2)×(Sin[10Log[x]]+1) + 1000000000x,(x^2)×(Cos[10Log[x]]+1) + 1000000000x]},{x, 1, 1000000000}]