Which choice shows how to find the least common multiple of 7 and 12 through prime factorization?
7 7
12 → 2 2 x 3
LCM: 7 x 2 x 2 x 3 = 84
7 - 7
12 - 2x2x3
LCM: 7 2 x 3 = 42
7 - 7
12 – 2x2x3
LCM: 1
7 - 7
12 - 2x 2 3
LCM: 7 x 3 = 21

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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: your answer is c

step-by-step explanation: