Respuesta :
Answer:
Answer To The Whole Assignment
1. x= 44
2. x=7
3. (in order first box to last) 2,5,1,4,3
4. x= -5
5. D. This number is a true solution of the original equation.
6. x=2
7. A. log2[x(x – 6)] = 4
8. C. x2 – 6x – 16 = 0
9. x=8
10. x=1, x=2
11. There is no solution.
12. x=3 or x=-3
13. C. Only –3 is an extraneous solution.
14. The bases of the logarithms are not the same.The one-to-one property does not apply when the bases are not the same.The change of base formula should have been used to write the logarithms with the same base.
By using logarithmic properties, we will see that the solution of the given equation is x = 44.
How to solve logarithmic equations?
Our equation is:
[tex]log_4(x + 20) = 3[/tex]
Taking log base 4 on both sides;
[tex]log_4(x + 20) = 3[/tex]
[tex](x + 20) = 4^3\\\\x + 20 = 64\\\\x = 64 - 20\\\\x = 44[/tex]
Hence, the value of x is 44.
If you want to learn more about logarithms, you can read here;
brainly.com/question/13473114
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