3 years ago

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

Mathematics

2 answers:

aliya0001 [1]3 years ago

6 0

the answer is option 3: x^2-6x-16=0

riadik2000 [5.3K]3 years ago

3 0

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.

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