Write each infinitely repeating decimal as a rational number (fraction).
0.4354 repeating 54
10. 0.588 repeating 88
11. 0.680 repeating 80
12. 5.484 repeating 84
13. 8.180 repeating 80
14. 0.81668 repeating 68
15. 5.24690 repeating 90
16. 9.2331 repeating 31

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step-by-step explanation:

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