Helene, a hiker, starts at an elevation of 27 feet above sea level and descends 32 feet during her hike to base camp. which describes the elevation of base camp?

5 feet below the sea level.

Step-by-step explanation:

Helene, a hiker starts at an elevation of 27 feet above the sea level.

Then Helene descends 32 feet that means her total elevation above the sea level will be

h = 27 - 32 = -5 feet.

Minus sign indicates that Helene is 5 feet below the sea level.

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