Question 115822
Log is just a fancy name for exponent or power.
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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.
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g(x)=5e^x
There is no restriction on x.
Domain: All Real Numbers.
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g(x) = ln (t+4)
t+4 > 0
t > -4
Domain: All Real Numbers greatern than -4.
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g(t) = 5g^t
There is no restriction on t.
Domain: all Real Numbers
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Cheers,
Stan H.