This means that the 2003 ticket price is 0.74 times that of the 2013 ticket price. so, we have $8.13(0.74) = $6.02 is the average ticket price of a movie in 2003. what is the index number for the 2013 average movie ticket price using 2003 as a reference value?

Can anyone answer ?
I can't figure this out and I'm a 11th grade :(

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places