If a^ x = b then:
x = log_{a}b
For:
4^{7} = 16384 \\ log _{4}16384 = 7
Ok so first what you gotta do is carry the 1 to the 7 which makes 8 minus 1 is 7 so your answer is D
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Well. I can't see the picture. But it would be decreasing at a rate of 4 so pick a point on the any line move over to the right one, then down four. And for the y intercept the line would intersect the y axis at positive one. Sorry if that's confusing
Your graph should look something like the one below, an exponential function (this is because your are raising a number to the power of x.
:)