Question

4^2x+3=1

Answer 1

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

Answer 2

no
\[4^{2x+3} = 1\]

Answer 3

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

Answer 4

this is exponential equations not requiring logarithms

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

0

Answer 10

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?

Answer 11

yes

Answer 12

thxs