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If a function of this form $f(x)=b\cdot a^x$ is called an exponential function, then is the function $g(d)=13.4\cdot \ln(d)-21.8$ also exponential?

If yes why?

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    Thanks Marc van Leeuwen for editing.2012-10-22

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It is $f(x)=a^{\log_a (b)+x}$ provided $a\ne0, a>0$ which is clearly not an exponential function.

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    Don't mention it. I didn't feel at all like you "made me" do it. I very much wanted to, because I care very much about you, and about OPs and users in general, and sometimes users forget that we are all: both askers, and answerers, human beings with feelings that matter! ;-)2013-03-31
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No, it's a transformation of the natural log function, which is the inverse of the exponential.

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    Thanks for the answer Peter2012-10-22