SOLUTION: Suppose the functions f, g, h, r and l are defined as follows: f(x)=1/3log3(1/4)+log3x write down the domain of f and then solve the equation f(x)=-log1/2 3sqaure root x

Algebra ->  Linear-equations -> SOLUTION: Suppose the functions f, g, h, r and l are defined as follows: f(x)=1/3log3(1/4)+log3x write down the domain of f and then solve the equation f(x)=-log1/2 3sqaure root x      Log On


   

Question 1194563: Suppose the functions f, g, h, r and l are defined as follows:
f(x)=1/3log3(1/4)+log3x
write down the domain of f and then solve the equation f(x)=-log1/2 3sqaure root x
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I can guess that the given function is

%281%2F3%29log%283%2C%281%2F4%29%29%2Blog%283%2C%28x%29%29

Using rules for logarithms, we can write that as a single logarithm:

log%283%2C%28%281%2F4%29%5E%281%2F3%29%29%29%2Blog%283%2C%28x%29%29
log%283%2C%28%28%281%2F4%29%5E%281%2F3%29%29%28x%29%29%29

%281%2F4%29%5E%281%2F3%29 is a positive real number, solog%283%2C%28%281%2F4%29%5E%281%2F3%29%29%29 is a real number. So there are no restrictions on the value of x.

ANSWER 1: The domain of f(x) is all real numbers

I can't respond to the second question, because I don't know how to interpret

"-log1/2 3sqaure root x"