Question Number 34533 by tawa tawa last updated on 07/May/18
$$\mathrm{Solve}\:\mathrm{for}\:\:\mathrm{x}\::\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}\:\mathrm{log}_{\mathrm{4}} \mathrm{x}\:\:\:+\:\:\:\mathrm{48}\:\mathrm{log}_{\mathrm{x}} \mathrm{4}\:\:\:\:=\:\:\:\:\frac{\mathrm{x}}{\mathrm{8}} \\ $$
Commented by tawa tawa last updated on 08/May/18
$$\mathrm{yes}\:\mathrm{sir}. \\ $$
Commented by NECx last updated on 08/May/18
$${I}\:{remember}\:{those}\:{days}\:{when} \\ $$$${Tawakalitu}\:{asked}\:{questions}\:{like} \\ $$$${this}. \\ $$
Commented by Rasheed.Sindhi last updated on 08/May/18
$$\mathrm{Once}\:\mathrm{I}\:\mathrm{thought}\:\mathrm{that}\:{Tawakalitu}\:\mathrm{and} \\ $$$$\mathrm{Miss}\:\mathrm{tawa}\:\mathrm{tawa}\:\mathrm{is}\:\mathrm{same}\:\mathrm{person}…. \\ $$
Commented by tawa tawa last updated on 08/May/18
$$\mathrm{when}\:\mathrm{i}\:\mathrm{re}\:\mathrm{install}\:\mathrm{the}\:\mathrm{app}.\:\mathrm{it}\:\mathrm{asked}\:\mathrm{for}\:\mathrm{new}\:\mathrm{username}.\:\mathrm{then}\:\mathrm{i}\:\mathrm{changed}. \\ $$
Commented by Rasheed.Sindhi last updated on 10/May/18
$$\mathcal{TH}\alpha{nk}\mathcal{S}! \\ $$
Answered by ajfour last updated on 08/May/18
$${x}=\mathrm{256} \\ $$
Answered by ajfour last updated on 08/May/18
$$\mathrm{5log}\:_{\mathrm{4}} \mathrm{256}\:+\:\mathrm{48log}\:_{\mathrm{256}} \mathrm{4}\:= \\ $$$$\mathrm{5}×\mathrm{4}\:+\:\mathrm{48}×\frac{\mathrm{1}}{\mathrm{4}}\:=\:\mathrm{32}\:=\:\frac{\mathrm{256}}{\mathrm{8}}\:\:. \\ $$
Commented by tawa tawa last updated on 08/May/18
$$\mathrm{No}\:\mathrm{algebraic}\:\mathrm{solution}\:\mathrm{sir}\:? \\ $$
Commented by ajfour last updated on 09/May/18
$${use}\:{the}\:{Wronskian}\:.\:{mrw}\:{sir} \\ $$$${used}\:{to}. \\ $$