Question Number 144869 by mathdanisur last updated on 29/Jun/21
$${if}\:\:\mathrm{3}^{\boldsymbol{{z}}} \:=\:\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{5}\sqrt{\mathrm{3}}} \:\centerdot\:\mathrm{3}^{\mathrm{2}} }\:\:{find}\:\:\boldsymbol{{z}}=? \\ $$
Answered by liberty last updated on 30/Jun/21
$$\:\mathrm{3}^{\mathrm{z}} \:=\:\mathrm{3}^{−\left(\mathrm{2}+\mathrm{5}\sqrt{\mathrm{3}}\right)} \:\Rightarrow\mathrm{z}=−\mathrm{2}−\mathrm{5}\sqrt{\mathrm{3}} \\ $$
Commented by mathdanisur last updated on 30/Jun/21
$${thanks}\:{Sir} \\ $$