C. Stephan developed a method to determine the next time two types of cicadas will appear together. He says that if you multiply the cycles together, you get the next time that both types will appear together. Does Stephan’s method work for any pair of cycles? If so, explain why. If not, provide an example for which Stephan’s method does not work.

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

mnkjn

step-by-step explanation:

answer is c

step-by-step explanation:

81/12=324/x

x=48