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Solve-for-real-positive-numbers-the-equation-z-log-3-z-log-4-z-log-5-z-log-6-




Question Number 144470 by mathdanisur last updated on 25/Jun/21
Solve for real positive numbers the  equation:  z^(log(3))  + z^(log(4))  + z^(log(5))  = z^(log(6))
$${Solve}\:{for}\:{real}\:{positive}\:{numbers}\:{the} \\ $$$${equation}: \\ $$$$\boldsymbol{{z}}^{\boldsymbol{{log}}\left(\mathrm{3}\right)} \:+\:\boldsymbol{{z}}^{\boldsymbol{{log}}\left(\mathrm{4}\right)} \:+\:\boldsymbol{{z}}^{\boldsymbol{{log}}\left(\mathrm{5}\right)} \:=\:\boldsymbol{{z}}^{\boldsymbol{{log}}\left(\mathrm{6}\right)} \\ $$

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