Which of the following are equivalent expressions? Select all that apply. (Select all that apply.)
$$3r2+29=3⋅r⋅r+29
$$4q2+3m=4⋅2⋅q+m⋅m⋅m
$$7e+18=7+e+18
$$40−v3=40−v⋅v⋅v
$$2b+4y=b+b+y+y+y+y

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