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.
The expression ln16 - ln8 as a single natural logarithm ln 2
A. ln 2
The expression for the natural logarithm:
ln 16 - ln 8
Note that:
[tex]ln a - ln b = ln \frac{a}{b}[/tex]
Applying this rule to the given expression:
[tex]ln 16 - ln 8 = ln(\frac{16}{8})\\\\ ln 16 - ln 8 =ln 2[/tex]
Therefore, the expression ln16 - ln8 as a single natural logarithm ln 2
Learn more natural logarithm here: https://brainly.com/question/305900
