Download Hmwk Chapter 6 Day #4 - Solving Logarithmic Equations (6.2.1

Algebra 2 – Chapter 6 Day #4
Homework – Solving Logarithmic Equations (6.2.1 Supplement)
Rewrite each expression as a single logarithm.
2. 3ln 2 + ln 7 − 2 ln 4
1. log 2 8 − 2 log 2 5 + log 2 10
Name_______________________________
3. log a − log b + log c
Expand each logarithm.
1
4. log x 4 y 2
5. log 7
22
xyz
6. log 3 (2 x − 3) 2 (4 x − 5)3
Use log properties to evaluate the following:
7. log 3 9 − log 3 81
8. log15 5 + log15 45
Solve each equation. Don’t forget to check your answers.
10. log9 ( 3x + 14 ) − log9 5 = log9 2 x
9. 2 log 6 12 −
1
log 6 64
3
11. log 7 x + log 7 x − log 7 3 = log 7 12
Algebra 2 – Chapter 6 Day #4
Homework – Solving Logarithmic Equations (6.2.1 Supplement)
Name_______________________________
12. log 5 ( x 2 − 30 ) = log 5 7 x
13. −4log ( −9 x ) = − 4
14. ln ( 3x ) = 6
15. log 7 + log x = 2
Review:
1. Solve the following system algebraically.
 y = ( x − 2) 2 + 3

y = x + 3
Algebra 2 – Chapter 6 Day #4
Homework – Solving Logarithmic Equations (6.2.1 Supplement)
Name_______________________________
Solve the following. Be sure to state restrictions if necessary.
2. 36 x 2 − 7 = 54
3. −2 x + 5 − 8 = 6
4. −10 ( 2 x + 9 )
6.
2
+ 17 = 267
2 − x − x = 4
5.
5
3
2
−
+
= 6
2x
4x
3x
7. If f ( x) = 2 x 2 + 4 x − 5 , find f (2 x + 1)
Algebra 2 – Chapter 6 Day #4
Homework – Solving Logarithmic Equations (6.2.1 Supplement)
Name_______________________________
8. Graph y = − log3 ( x + 6 ) − 4
Rewrite the Parent in Exponential Form:
10
y
Describe the transformation in words:
5
–10
–5
5
x
Domain
–5
Range
–10
Asymptote
9. Find the inverse of the following functions algebraically:
a. y = 4 ( x − 3)
2
− 5
b. y =
10. Rewrite the given equation in logarithmic form: 6 4 = 1296
11. Rewrite the given equation in exponential form: log 32 8 =
3
5
4
5x + 2 − 1
3