oneguy99909 oneguy99909

27-05-2022
Mathematics

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What is the solution set to this equation? log₂ (x - 2) + log₂x = 3

Respuesta :

Аноним Аноним

27-05-2022

Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

Or

x-2=8
x=10

Solution set

x[8,10]

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