SOLUTION: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?      Log On


   

Question 994706: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?
Found 4 solutions by fractalier, Alan3354, Boreal, MathLover1:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since you do not offer choices, let me combine the logs and get
2 log x - 2 log 4 = log (x^2 / 16)
OR
log (4x^2 / 64) = log (x^2 / 16)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2log(x) + log(4) - 3log(4)
= 2log(x) - 2log(4)
= log(x^2) - log(16)
= log(x^2/16)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It would be log {(x^2)*4}/log (4^3)
That is log {4x^2/4^3}=log {4x^2/64}=log (x^2/16)
Other ways to write that are log(x^2)-log(16).

Answer by MathLover1(20849) About Me  (Show Source):