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

asked Jun 10, 2023 219k views

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Let's see

$\\ \rm\Rrightarrow log_2(x-2)+log_2x=3$

$\\ \rm\Rrightarrow log_2(x(x-2))=3$

$\\ \rm\Rrightarrow x²-2x=8$

$\\ \rm\Rrightarrow x(x-2)=8$

Either x=8

Solution set

x[8,10]

Mike Brind answered Jun 14, 2023

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