Question 122
Prove that the equation
$$
[x]+[3x]+[9x]+[27x]+[81x]=19480
$$
has no solutions in $\mathbb{R}$ (here $[\alpha]$ denotes the integer part of the real number $\alpha$).
$$
[x]+[3x]+[9x]+[27x]+[81x]=19480
$$
has no solutions in $\mathbb{R}$ (here $[\alpha]$ denotes the integer part of the real number $\alpha$).