Alg 2 02: Unit 7b Test: Exponents and Logs Part 2

2

Which equation best represents this graph;

f(x)=\frac{1}{2}log(4x)

f(x)=2\sqrt{4x}

f(x)=2(4)^x

f(x)=2(\frac{1}{4})^x

2

Solve for a:

8

1

2

4

3

Solve for m:
log_5(24)-log_5(3)=3\cdot{log_5(m)}
Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.

8/3

7

2

1/7

3

Solve for y: 2\cdot{log(y+4)}=log7+log(y+4)

{-4}

{-4,3}

{3}

{-3,4}

3

OPTIONAL: Solve for x: 3^{x^2+7x}=(\frac{1}{27})^{x-8}

{-4,6}

{-12,2}

{-2,12}

{-6,4}

2

Solve for c:(\frac{1}{4})^{c-7}=64^{c+9}

-5

-17/2

17

10

3

Solve for v to the nearest ten-thousandth:
5^{v-1}-19=56

3.1761

1.1761

1.6825

3.6826

1

Solve for m: 2\cdot{ln(m+4)}=ln 4

2

Solve for x: lnx-ln9=7, round your answer to 3 decimal points.

2

Solve for x e^{x}=57, put your answer to 3 decimal places.

2

Solve for n: 5e^{4n}=95

4

OPTIONAL: Solve for k:
\frac{1}{2}\cdot{log_8(36)}+log_8(3k+7)=log_8(132)

Select 2 of the 3 work problems in this section. Use the approprate formula below:

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3

An investment of $12,000 is losing value at a rate of 4% each year. Write and exponential function to model the situation, then find the value of the investement after 9 years. (round your answer to 2 decimal places)

3

A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the vlaue of the card in 2016.

3

Kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded semi-annually (twice per year), how much will he pay in total over the course of the 5 year loan?

4

OPTIONAL: Logan is taking out a loan to buy a $4000 ring for his girlfriend. He has the two finance options listed below. Which option should he choose? Justify your answer by giving the amount of money Logan will save:
Option A- a five year loan with a 7% interest rate compounded quarterly
Option B- An eight year loan with a 5.5% interest rate compunded annually.

Alg 2 02: Unit 7b Test: Exponents and Logs Part 2

Which equation best represents this graph;

Solve for a:

Solve for m:log_5(24)-log_5(3)=3\cdot{log_5(m)}Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.

Solve for y: 2\cdot{log(y+4)}=log7+log(y+4)

OPTIONAL: Solve for x: 3^{x^2+7x}=(\frac{1}{27})^{x-8}

Solve for c:(\frac{1}{4})^{c-7}=64^{c+9}

Solve for v to the nearest ten-thousandth: 5^{v-1}-19=56

Solve for m: 2\cdot{ln(m+4)}=ln 4

Solve for x: lnx-ln9=7, round your answer to 3 decimal points.

Solve for x e^{x}=57, put your answer to 3 decimal places.

Solve for n: 5e^{4n}=95

OPTIONAL: Solve for k:\frac{1}{2}\cdot{log_8(36)}+log_8(3k+7)=log_8(132)

An investment of $12,000 is losing value at a rate of 4% each year. Write and exponential function to model the situation, then find the value of the investement after 9 years. (round your answer to 2 decimal places)

A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the vlaue of the card in 2016.

Kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded semi-annually (twice per year), how much will he pay in total over the course of the 5 year loan?

Which equation best represents this graph;

Solve for a:

Solve for m:log_5(24)-log_5(3)=3\cdot{log_5(m)}Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.

Solve for y: 2\cdot{log(y+4)}=log7+log(y+4)

OPTIONAL: Solve for x: 3^{x^2+7x}=(\frac{1}{27})^{x-8}

Solve for c:(\frac{1}{4})^{c-7}=64^{c+9}

Solve for v to the nearest ten-thousandth: 5^{v-1}-19=56

Solve for m: 2\cdot{ln(m+4)}=ln 4

Solve for x: lnx-ln9=7, round your answer to 3 decimal points.

Solve for x e^{x}=57, put your answer to 3 decimal places.

Solve for n: 5e^{4n}=95

OPTIONAL: Solve for k:\frac{1}{2}\cdot{log_8(36)}+log_8(3k+7)=log_8(132)

An investment of $12,000 is losing value at a rate of 4% each year. Write and exponential function to model the situation, then find the value of the investement after 9 years. (round your answer to 2 decimal places)

A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the vlaue of the card in 2016.

Kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded semi-annually (twice per year), how much will he pay in total over the course of the 5 year loan?

Solve for m:
log_5(24)-log_5(3)=3\cdot{log_5(m)}
Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.

Solve for v to the nearest ten-thousandth:
5^{v-1}-19=56

OPTIONAL: Solve for k:
\frac{1}{2}\cdot{log_8(36)}+log_8(3k+7)=log_8(132)

Solve for m:
log_5(24)-log_5(3)=3\cdot{log_5(m)}
Sorry! You will all get credit for this one becuase I made a typo....I just changed the right hand side to base 5 to make it work.

Solve for v to the nearest ten-thousandth:
5^{v-1}-19=56

OPTIONAL: Solve for k:
\frac{1}{2}\cdot{log_8(36)}+log_8(3k+7)=log_8(132)