Question

An equation is shown below:

2 over 3 multiplied by x plus 8 over 3 equals 2 to the power of x

What is the solution to the equation?
x = –2

x = –1

x = 1

x = 2

Answer 1

@epiphi , @zoejay1

Answer 2

x=1

Answer 3

Can you explain ?

Answer 4

23×x+83=2x does that help

Answer 5

wait....

Answer 6

okay

Answer 7

Im sorry its x=2

Answer 8

okay

Answer 9

multiply everything by 3 to remove denominator
2x+23=(2x)3

12x−1+23=(2x)3

x is found on 2's so we take there exponents as the bases are the same
−1+3=x

x=2
you can confirm by substituting

i think thats how i did it i did it in my head at first and got it wrong but this is how you get the answer

Answer 10

i dont know why its doing those question marks sorry

Answer 11

Okay thanks !

Answer 12

Ik it always does that

Answer 13

sorry if thats a little confusing

Answer 14

It's not and thanks !

Answer 15

alright :)

Answer 16

np