Donald has a spherical ornament. he knows that the surface area of the ornament is equal to 4 times the product of and the square of the radius of the ornament. donald measured the radius of the ornament and found it to be 5 inches. if a represents the surface area of the ornament, then which of the following equations can be used to calculate the surface area of the ornament?

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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

that one look

step-by-step explanation: