Mining the Solutions of an Absolute Value Equation Savanah solved the equation 3 + 4/2 + 3) = 11 for one
solution. Her work is shown below:
What is the other solution to the given absolute value
equation?
x=
1
412 + 3 = 8
2
1 + 3) = 2
3. Ž + 3 = 2
4. Ž= -1
5. x= -2
Done
.) Intro
DODO
5 of 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