Question

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

Answer 1

the answer is option 3: 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.