Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?

11.92 + |â€"101 = 2

1 + 32

5

Step 1: = + 10 = 2

1 + 9

Step 2: =

5

+ 10 = 2

10

Step 3: =

+ 10 = 2

Step 4: = 2 + 10 = 2

Step 5: = 122

Step 6: = 6

A. Step 4

B. Step 3

C. Step 5

D. Step 1

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

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