SOLUTION: The problem states: Find the domain of the following. f(t)=log(t-5) g(x)=5e xpower g(x) = ln (t+4) g(t) = 5g tpower I do not understand the logarithim nor the e to the x

Question 115822This question is from textbook Blitzer college algebra
: The problem states:
Find the domain of the following.
f(t)=log(t-5)
g(x)=5e xpower
g(x) = ln (t+4)
g(t) = 5g tpower
I do not understand the logarithim nor the e to the x power and g to the t power. The examples in the book are not very helpful. I would appreciate any help in how to do the above work. Thank you
This question is from textbook Blitzer college algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Log is just a fancy name for exponent or power.
---------------------
Find the domain of the following.
f(t)=log(t-5)
That log will only exist if (t-5) is greater than zero.
t-5 >0
t > 5
Domain: All Real Numbers greater than 5.
------------------------
g(x)=5e^x
There is no restriction on x.
Domain: All Real Numbers.
---------------
g(x) = ln (t+4)
t+4 > 0
t > -4
Domain: All Real Numbers greatern than -4.
-----------------
g(t) = 5g^t
There is no restriction on t.
Domain: all Real Numbers
===================
Cheers,
Stan H.

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