Question

Please help!
The equation y = 2^x / 4 can be written in the form y=2^t

find an expression for 't' in terms of x

Answer 1

\(\frac{1}{4}=2^{-2}\) the laws of exponents

Answer 2

we didnt learn exponents yet .

Answer 3

\(2^{-2}\times 2^x=2^{x-2}\)

Answer 4

hint:
Example 1:

(1,3) and (7,8)
Solution:

m= 8-3
7-1 = 5
6
Notice that if I had reversed the order of the points I would have gotten


m= 3-8
1-7 = -5
-6 = 5
6 , but I need to be consistent, because

3-8
7-1 =
5
-6
,
which is not the same thing. We can tell from this slope of 5/6 that the line goes uphill from left to right and it rises 5/6 as much as it travels from left to right. A line with slope 1 would be one that makes a 45° angle with the axes, so a line of slope 5/6 would be just a little less steep than that.

Answer 5

sorry the question is \[y =\frac{2^x}{2} ,y= 2^x \]

Answer 6

nw hw do v wrk this out

Answer 7

\[y = \frac{2^x} { 2}, \qquad y=2^t \]?

Answer 8

thts the question how to express for t in terms of x

Answer 9

i wrote the answer above, i don't know what else to say
it is \(y=2^{x-2}\) so \(t=x-2\)

Answer 10

can u please elaborate a bit more clear

Answer 11

\[2^t=\frac{2^x}{2}\]\[\downarrow\]\[2\times 2^t =2^x\]
\[2^{t+1}=2^x\]
\[t+1=x\]

Answer 12

\[t=x-1\]

Answer 13

i dint get tht part \[2^{t+1} = 2^x\]

Answer 14

ok so 2 squared
is really \[2^2 =2 \times 2\]
2 cubed is really
\[2^3=2\times 2\times 2\]
_________
so \[2^t=2\times 2 \times 2 ......\text{(t times)}\]
\[2 \times 2^t =2\times (2 \times 2 ......)\text{(t times)}\]
\[2 \times 2^t =2\times 2 \times 2 ......)\text{(t+1 times)}\]

Answer 15

oh ok get it :)

Answer 16

thnks ;)

Answer 17

np