Answer
No solution.
Work Step by Step
Recognize powers of 10.
$(10^{3})^{2x+1}=(10^{2})^{3x}\qquad$ ... apply $(a^{m})^{n}=a^{mn}$
$ 10^{6x+3}=10^{6x}\qquad$ ... apply the exponential equality principle
$6x+3=6x$
$ 3=0\qquad$ ... no x exists for which this would be true....
No solution.
