You have 30 tickets to use at the spring carnival. The hamster balls require 5 tickets each, and the
slide requires 2 tickets each. If the total amount of
times you use the hamster ball or slide is 9, how
many times did you use each?
Variables:
Equations

the slide 2 times and the hamster balls 1

Step-by-step explanation:

5×1=5 2×2=4 4+5=9

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