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). (4 points)

Part B Make tables to find the solution to 8^x = 2^(x + 2). Take the integer values of x between -3 and 3. (4 points)

Part C: How can you solve the equation 8^x = 2^(x + 2) graphically? (2 points)

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). (4 points)

Part B Make tables to find the solution to 8^x = 2^(x + 2). Take the integer values of x between -3 and 3. (4 points)

Part C: How can you solve the equation 8^x = 2^(x + 2) graphically? (2 points)

anonymous · Answer

please help i will give a medal out for help

johnweldon1993 · Answer

Well if you were to graph those 2 equations...they would indeed intersect...why? Because at 1 point (1 'x' and 'y' value) they will be equal

Lets figure out where...

8^x = 2^(x + 2)

8 can be written as 2^3 right?  so we have

(2^3)^x = 2^(x + 2)

Remember the rules of exponents...

2^(3x) = 2^(x + 2)

We just need to figure out when

3x = x + 2

so subtract x from both sides...

2x = 2

x = 1

There is our solution

anonymous · Answer

what about part b i need help on that part to

johnweldon1993 · Answer

Alright so make a table

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All you do is plug in those values for 'x' into your function...and see what they equal