Awoman at the top of the cliff that is 256 feet tall drops her hairpin. the distance from the hairpin to the ground can be modeled by the equation h=-16tsquared+ s, where h is the height from the ground, t is the time in seconds, and s is the initial height from the ground in feet. how long will it take for the hairpin go reach the ground?

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

its line 2 i just added the rest or else it wouldn't let me answer