Question

plzzzzzzzzzzzzzzzz answer ​

Answer 1

log2(x) + log2(x - 2) = 3

log2((x)(x - 2)) = 3

log2(x2 - 2x) = 3

23 = x2 - 2x

8 = x2 - 2x

x2 - 2x - 8 = 0

(x - 4)(x + 2) = 0

x = 4, -2

Check Answers

Check to make sure that no answer choice creates a base or argument in the log equal to zero or a negative number.

x = -2 will give a negative number in the argument for the original equation log2(x)

x = 4 will not produce a negative argument

Therefore, the only solution is  x = 4

Hope this helps you!!!