Question Number 72589 by TawaTawa last updated on 30/Oct/19
$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}:\:\:\:\:\left(\sqrt{\boldsymbol{\mathrm{x}}}\right)^{\boldsymbol{\mathrm{x}}} \:\:=\:\:\mathrm{27}\boldsymbol{\mathrm{x}}^{\sqrt{\boldsymbol{\mathrm{x}}}} \\ $$
Commented by MJS last updated on 30/Oct/19
$$\mathrm{trying}\:\mathrm{we}\:\mathrm{find}\:{x}=\mathrm{9} \\ $$
Commented by TawaTawa last updated on 30/Oct/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$