Express as a single natural logarithm. ln 2 + ln 8 - ln 4 a. ln 4 b. ln 6 c. ln 64

Answers To The Whole Assignment

1. middle graph

2. middle graph

3.  in e^3 = 3, in e^2y=2y

4. in e^ln1=1, in e^ln5x=5x

5. A. In2

6.  A. In4

7. B. ln a + 2 ln b  C. ln a2 + ln b2 - ln a E. ln ab2

8. C. ln 25x + ln 1  D. ln 25x

9. In 3x= in3+ln x= in In 2a/b= In2+ln a-lnb

10. A. 4 ln 2 + 4 ln x B. ln 4 - 2 ln x + 5 ln y

11. A. x=5 B. x=6

12. C. {8} B. {3}

13.  5

14. Since 0 in ln(3x) - 0 is not a logarithm, the  property of logarithms cannot be used here.The difference shown cannot be written as a quotient of logarithms.The step ln(x2) = ln(3x) - (0) reduces to 

ln(x2) = ln(3x).The possible solutions are 0 and 3, with 0 being extraneous.

ln 4

Step-by-step explanation:

first one is a: renaming a fraction. second one is c: de-c

step-by-step explanation:

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step-by-step explanation: