Question

Solve the equation: log4(x + 20) = 3

Answer 1

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. 

**** all answers were found off of brainly.com *******

Answer 2

Loga x=n    ⇔a^n=x
Therefore:

log₄ (x+20)=3
3⁴=x+20
64=x+20
x=64-20
x=44

Answer: x=44