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Question Number 89038 by M±th+et£s last updated on 14/Apr/20

solve  log_x (x−3)=log_x (5−x)

$${solve} \\ $$$${log}_{{x}} \left({x}−\mathrm{3}\right)={log}_{{x}} \left(\mathrm{5}−{x}\right) \\ $$

Answered by mahdi last updated on 14/Apr/20

⇒x−3=5−x⇒x=4

$$\Rightarrow\mathrm{x}−\mathrm{3}=\mathrm{5}−\mathrm{x}\Rightarrow\mathrm{x}=\mathrm{4} \\ $$

Commented by M±th+et£s last updated on 14/Apr/20

good work but firdt you should find  the domain

$${good}\:{work}\:{but}\:{firdt}\:{you}\:{should}\:{find} \\ $$$${the}\:{domain} \\ $$

Commented by mahdi last updated on 15/Apr/20

D=x>0  x≠1  4∈D

$$\mathrm{D}=\mathrm{x}>\mathrm{0}\:\:\mathrm{x}\neq\mathrm{1} \\ $$$$\mathrm{4}\in\mathrm{D} \\ $$

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