You are baking a cake. the recipe calls for a cake pan that is 9 inches by 11 inches by 2 inches. you have a pan that is 10 inches by 10 inches by 2 inches.

what is the volume of the recipe's cake pan?

what is the volume of your cake pan?

what is the surface area of the recipe's cake pan? (top of cake pan is open)

what is the surface area of your cake pan? (top of cake pan is open)

is it okay to use your cake pan for this recipe?

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