How do I find the domain and range of logarithmic and exponential equations?

Derek Hopper asked:


Can anyone please help?
How do I find the domain and range of logarithmic and exponential equations?
Advice on intercepts would help too…thanks in advance.

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  1. I think For the domain of logarithmic functions – the argument of a logarithmic function must be positive

    log base 3 of 9 = 2

    log base 10 of 0.001 = -3

    the argument must be positive => hence

    log ( f(x) ) will have a domain limited to f(x) > 0
    the rangle for the log function will be R for the full domain

    e^x is the inverse of the natural log function. It has a domain of R and a Range of R+

    Comment by Andrew — April 13, 2010 #

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