Suppose a friend tells you she paid a total of $27,868 for a car, and you’d like to know the car’s list price (the price before taxes) so that you can compare prices at various dealers. Find the list price of the car if your friend bought the car where the sales tax is 6.5%.

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

14

step-by-step explanation:

where is the picture

step-by-step explanation:

the answer is -6

step-by-step explanation:

the answer is -6 because its next to the variable m