Question

Please help! I'm terrible with fractions.
What is the solution to the equation?
2 over 3 multiplied by x plus 8 over 3 equals 2 to the power of x

Answer 1

@Hero @Abhisar @Directrix @ganeshie8 @hartnn @ParthKohli Please help guys!

Answer 2

In order to find all solutions you actually need to use a calculator.
You want to graph y = (2/3)x + 8/3 and y = 2^x
Then find where they intersect.

Are you familiar with how to do that?

Answer 3

You can't solve algebraically for x = because you have x^n and an exponential 2^x

Answer 4

So you have to solve graphically

Answer 5

Oh so I have to graph and find the value for x?

Answer 6

Yerp! There should be 2

Answer 7

y = (2/3)x + 8/3 intersects y = 2^x twice

Answer 8

so x = 2 ?

Answer 9

Yes! :)

Answer 10

Yay!!

Answer 11

That's one solution. There should be one more solution

Answer 12

:o

Answer 13

So your graph is like this: