Create an exponential equation from the points: (1, -6) & (2, -12)
(**Make sure you start it with f(x) and include parentheses)

The exponential equation is

Explanation:

The points are and

To determine the exponential equation, let us substitute the points in the exponential equation

Substituting in the equation , we get,

Thus, substituting and in , we have,

Substituting in , we get,

Hence, substituting the value of a and b in the exponential equation , we have,

Thus, the exponential equation is

the correct answer is $7.38

step-by-step explanation:

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