Can I help with this? Please explain how it's done also.

x = 7, y = 7root2/2

Step-by-step explanation:

All 45-45-90 triangles have the same side length relationships

https://www.dummies.com/education/math/geometry/identifying-the-45-45-90-degree-triangle/

Both sides across from the 45 are the same, so y = 7root2/2

The hypotenuse is the side times root2

So x = 7root2/2 * root2 = 7*2/2 or 7

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