Question

Which of the following is a solution to the equation log 4 x + log 4 (x – 3) = 1 ?

Answer 1

x = 6/5

x = 2

x = –3

x = 4

Answer 2

log 4 x + log 4 (x – 3) = 1

Answer 3

I never said the base was 10

Answer 4

where did the 10 come from ?

Answer 5

\[\log_4 x-\log_4(x-3) =1\]

Answer 6

why is there minus signs?

Answer 7

Oops that is + not -

Adding logs is same as multiplying and then taking log of product, so we can rewrite as\[\log_4 x(x-3)=1\] which means \[x(x-3)=4^1\]

Answer 8

Solve for the positive solution of \[x^2-3x=4\]

Answer 9

(Not negative solution because that would cause use to take log of a negative number in our original equation and that gives us a complex number)

Answer 10

@spiderman10 what did you get for answer?