A right square prism has a volume of 360 cubic units. Which could be the dimensions, in units, of the prism? a. 3 by 3 by 40.
b. 4 by 4 by 20.
c. 5 by 5 by 14.
d. 2.5 by 12 by 12.
e. 3.6 by 10 by 10.

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

yes.. it's proven to be 36.