Find x in this proportion.
5/2x =25/4
x =

2/5
5/2
4/5
8/5

2/5

Step-by-step explanation:

make it reciprocal

2x/5 = 4/25

cross multiply the numbers

2x × 25 = 4×5

2x= 20/25

2x= 4/5

x = 2/5

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