Question

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Answer 1

C is your answer

Explanation:

x^2-6x-16=0

Answer 2

If the question is

`log_2(x)+log_2(x-6)=4`

which can be simplified to

`log_2(x(x-6))=4`

By the definition of log,
`log_a(x)=y` means
`a^y=x`

=>

2^4=x(x-6)=x^2-6x

Simplify and solve for x

x^2-6x-16=0

(x+2)(x-8)=0

x=-2 or x=8

Since no answer choices are given, one of the equations in the above solution should appear in the answer choices.