Question

Algebra 9th grade help please! A medal will be rewarded! :)

Answer 1

@phi

Answer 2

@Phoenix515

Answer 3

Here's the question:



Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^{x} and y = 2^{x + 2} intersect are the solutions of the equation 8^{x} = 2^{x + 2}.

Part B Make tables to find the solution to 8^{x} = 2^{x + 2}. Take the integer values of x between -3 and 3.

Part C: How can you solve the equation 8^{x} = 2^{x + 2} graphically.

Answer 4

@e.mccormick may I please have some help? I am having a hard time w/ this!

Answer 5

Anyone? antschauble I need some help.

Answer 6

are you solving it

Answer 7

Well, I am going to be leaving as soon as someone is ready.... but here is a graph to start with:
https://www.desmos.com/calculator/i6iwc6vaud

Answer 8

Could you please explain? I don't understand.

Answer 9

Like I said, I don't have time. I am literally waiting for someone so we can walk out the door.

Mathematically, here is a clue:
\((a^m)^n=a^{m\cdot n}\)
\(8=2^3\)

Answer 10

With the math info there, you can use \(\log_2\) to solve it.

Answer 11

ok, thank you!

Answer 12

@phi may i have some help?

Answer 13

@amistre64 may I have some help

Answer 14

i have time constrictions as well. srry

Answer 15

ok

Answer 16

@JM98SMITH may I have some help

Answer 17

@jhonyy9

Answer 18

which part did you do ?

Answer 19

None of them, I don't know what to do, could you please explain? I mean, I'm confused as to what to do. :/

Answer 20

Can you do Part B:

Part B Make tables to find the solution to 8^{x} = 2^{x + 2}. Take the integer values of x between -3 and 3.

for each x from -3 to +3, figure out 8^x and 2^(x+2)
and put that into a table.

Answer 21

make 3 columns, with the headings "x", "8^x" and "2^(x+2)"

Answer 22

ok

Answer 23

I understand, so make a column for x, w/ the numbers going from -3,-2,-1,0 up to +3, plug those numbers into the equations above, and then what do I do for part c.?

Answer 24

Plot the points from part B, and connect the dots.
you should get two curves that cross. where they cross is the answer.

Answer 25

Thank you so much for the help.

Answer 26

For Part A

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^{x} and y = 2^{x + 2} intersect are the solutions of the equation 8^{x} = 2^{x + 2}.

Let's say that the point (x0,y0) "works" for both equations. In other words, we get
\[ 8^{x_0}= y_0 \text{ and } 2^{x_0+2} = y_0 \]
The point is both equations equal the same number y0. That means
\[ 8^{x_0}=2^{x_0+2} \]

and the number x0 is the solution. Because the point (x0,y0) is "on" both curves, it is the intersection of the two curves. The x value of the intersection point will be the answer