Math Practice Test For You...1

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Math Practice Test For You...1

IMG_20211210_202715.jpg


IMG_20211210_202725.jpg


IMG_20211210_202738.jpg
 
Alg2_08_01_0002-diagram_thumb-lg.png
CfdIRZu_iMA_DFp7EilcK9igLFA42jd2hksGilRMBdINxoLKxj2LAWCjQxvj8m9E3Ik6tmVfPAFIx4whUTPp-KZw



A.

1/125=5^-3

-3=log(5,(1/125))

B.

e^0=1

0=log(e,1) or 0=ln(1)

C.

5^x=6

x=log(5,6)

D.

e^(3t)=8
3t=ln(8)
t=ln(2^3)/3
t=(3ln(2))/3

t=ln(2)

write equation in log form

A.
9=3^2
2=log(3,9)

B.
1000=10^3

3=log(10,1000)

C.
7^3=343
3=log(7,343)

D.
sqrt(2)=2^(1/2)
1/2=log(2,sqrt(2))

write an equation in exponential form

A.
log(2,32)=5
2^5=32

B.
log(10,1)=0

10^0=1

C.

log(e, sqrt(e))=12-> false, should be 1/2

log(e, sqrt(e))=1/2

log(e, e^(1/2))=12

e^(1/2)=e^(1/2)
 
Alg2_08_01_0002-diagram_thumb-lg.png
CfdIRZu_iMA_DFp7EilcK9igLFA42jd2hksGilRMBdINxoLKxj2LAWCjQxvj8m9E3Ik6tmVfPAFIx4whUTPp-KZw



A.

1/125=5^-3

-3=log(5,(1/125))

B.

e^0=1

0=log(e,1) or 0=ln(1)

C.

5^x=6

x=log(5,6)

D.

e^(3t)=8
3t=ln(8)
t=ln(2^3)/3
t=(3ln(2))/3

t=ln(2)

write equation in log form

A.
9=3^2
2=log(3,9)

B.
1000=10^3

3=log(10,1000)

C.
7^3=343
3=log(7,343)

D.
sqrt(2)=2^(1/2)
1/2=log(2,sqrt(2))

write an equation in exponential form

A.
log(2,32)=5
2^5=32

B.
log(10,1)=0

10^0=1

C.

log(e, sqrt(e))=12-> false, should be 1/2

log(e, sqrt(e))=1/2

log(e, e^(1/2))=12

e^(1/2)=e^(1/2)

Solving lots of different questions as you did helps visiting students. Your math work will help a high school or college student preparing for an upcoming exam. Remember: I am reviewing precalculus and precalculus only.

If you do not see a section number listed at the very top of the page, I am not seeking help; it is just a general problem(s) to help visiting students. Moving forward, I indicate precisely why the thread was posted. For example, at the very top you will see PRACTICE MATH PROBLEMS FOR VISITING STUDENTS AND/OR MATH ENTHUSIASTS. You are a math tutor, former teacher and so I think of you as a math enthusiast. Feel free to answer any question you like or any thread you find interesting. Your math work shown also makes good study notes.
 

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