20 !me! solve each given equation and show your work. tell whether each equation has one solution, an infinite number of solutions, or no solution. explain your answers. (a) 2 4( 1) 2 4 x x x (b) 25 15 (3 10) xx (c) 4 2 2 5( ) x x x x x

a) No solution because it is impossible to get an answer

b) one solution because it is only possible to get 1 answer

c) no solutions because it is impossible to get an answers

Step-by-step explanation:

B)  Pull out like factors :

  20 + 2x  =   2 • (x + 10)

x+10 = 0  

Subtract  10  from both sides of the equation :  

                     x = -10

    x = -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