MATH SOLVE

3 months ago

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

Accepted Solution

A:

If the question is[tex]log_2(x)+log_2(x-6)=4[/tex]which can be simplified to [tex]log_2(x(x-6))=4[/tex]By the definition of log, [tex]log_a(x)=y[/tex] means [tex]a^y=x[/tex]=>2^4=x(x-6)=x^2-6xSimplify and solve for xx^2-6x-16=0(x+2)(x-8)=0x=-2 or x=8Since no answer choices are given, one of the equations in the above solution should appear in the answer choices.