4^2x+3=1

Question

4^2x+3=1

zugzwang · Answer

$$\large 4^{2x}+3=1$$
Is this it?

anonymous · Answer

no
$$4^{2x+3} = 1$$

zugzwang · Answer

Well, then, question... to what exponent to you raise numbers to that the value is 1?

anonymous · Answer

this is exponential equations not requiring logarithms

zugzwang · Answer

It will not need logarithms, but intuitively, there is an exponent sch that in general, when you raise a number to it, the answer is 1.

anonymous · Answer

http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Exponential%20Equations%20Not%20Requiring%20Logarithms.pdf

anonymous · Answer

this is the work sheet im working on and it says the answer is -3/2 and i dont know how to get that answer

zugzwang · Answer

Yeah, this will lead you up to it, but first, again, what exponent turns numbers into 1 when the are raised to it?

anonymous · Answer

attachment

zugzwang · Answer

Precisely.  So now we are left with
$$\large 4^{2x+3}=1$$
But we know that
$$\large 1 = 4^0$$
So the question becomes
$$\large 4^{2x+3}=4^0$$
Can you do it from here?

anonymous · Answer

yes

anonymous · Answer

thxs