# How do you solve log_5 10 - log_5 x6 = 21?

For both the equations ${\log}_{5} 10 - {\log}_{5} \left(6 x\right) = 21 \mathmr{and} {\log}_{5} 10 - {\log}_{5} \left({x}^{6}\right) = 21$, there is no solution. In either case, I get negative x as solution and it is inadmissible.