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Algebra/algebra 2

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Question
Exponential form
1.log[6](36)=2
2.log[289](17)=1/2
3.log[14] (1/196)=-2
4.log[3] (81)=4

logarithmic form
5.64^1/2 =8
6.12^2=144
7.9^-2 =1/81
8.(1/12)^2=1/144

15.u^-14=v
17.(1/5)^x=y


exponential form
11.log[7/4](x)=y
12.log[2](v)=u
13.log[u](v)=-16
14.log[y](x)=-8


Solve
23.ln(x+2)-ln(x-1)=1
24.ln(x+3)-ln(x+2)=5

Answer
1. 6^2 = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 3^4 = 81
5. log[64](8) = -2
6. log[144](12) = 2
7. log[9](1/81) = -2
8. log[1/12](1/144) = 2
15. log[u](v) = -14
17. log[1/5](y) = x
11. (7/4)^y = x
12. 2^u = v
13. u^-16 = v
14. y^-8 = x
23. x = 2.746
24. x = -1.993216

Algebra

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