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?

A. x = –2

B. x = –1

C. x = 1

D. x = 2

Answer 1

\[\frac{ 2 }{ 3 } \times x+\frac{ 8 }{ 3 }=2^{x}\]
is this what you mean? @IndianBoyNiko

Answer 2

yea

Answer 3

@Mokeira

Answer 4

\[\frac{ 2 }{ 3 }x+\frac{ 8 }{ 3 }=2^x\]

Answer 5

@Mokeira

Answer 6

let me try

Answer 7

ok

Answer 8

@ganeshie8

Answer 9

@Phi

Answer 10

multiply everything by 3 to remove denominator
\[2x+2^{3}=(2^{x})3\]

Answer 11

that is step one lol

Answer 12

I got B but I don't know if I'm right :/

Answer 13

x=2...let me show you how i reasoned although i am not so sure

Answer 14

okok

Answer 15

it is same as
\[\frac{ 1 }{ 2x }^{-1}+2^{3}=(2^{x})3\]
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

Answer 16

Thanks for the help

Answer 17

@Mokeira

Answer 18

You verrrry welcome