2. The following formula models the Richter scale which describes the magnitude, M, of an earthquake with amplitude A where k is a predetermined constant.
M = log
a. What is the base of the log in this formula?
(1 point)
b. Change this formula to exponential form.
(2 points)
c. Use the above information to explain why a 7.0 earthquake has ten times the amplitude of a 6.0
earthquake.
(2 points)
d. What would M be if A = k? What would that mean in real life?
(2 points)

need more information

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

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.

step-by-step explanation: