SOLUTION: g(x)=log3(x) what is the domain of g(x); what is the range of g(x); find an intercept of f(x): graph the equation:

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: g(x)=log3(x) what is the domain of g(x); what is the range of g(x); find an intercept of f(x): graph the equation:      Log On


   



Question 424904: g(x)=log3(x)
what is the domain of g(x);
what is the range of g(x);
find an intercept of f(x):
graph the equation:

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
g(x)=log3(x)
what is the domain of g(x);
what is the range of g(x);
find an intercept of f(x):
graph the equation:
..
Domain: (0,∞)
Range:(-∞,∞)
y-intercept: none
x-intercept: 1
Asymptote: y-axis
I'm sorry, but our program will not graph the log function. The best I can do is graph the inverse of the log function,3^x, as I did below,and describe what the log function looks like on this same graph. The log function is a mirror image of its inverse. You can plot it by swapping the x and y coordinates like any other inverse functions and use the knowledge that the x-intercept is at 1, and the asymptote is the y-axis. The x-intercept on the graph shows that the logarithm of 1 is always equal to zero. The graph also shows that the x in log x must always be greater than zero. (x>0)
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