Algebra 2 Chapter 6 Review

Eenie

100

Growth or Decay?

f(x) = 4(0.89)^x

Decay

200

Find the value of v.

v = log₈64

2

300

Solve the value of the logarithm. 

log₇ 45

1.956

400

Write the expression as a single logarithm.

log₅3 + log₅6 + log₅9

log₅162

500

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year. Write and evaluate an expression to estimate the painting's value in 2005. 

12,000(1.08)^t

$38,066

Meenie

100

Growth or Decay?

f(x) = 1/3(1.06)^x

Growth

200

Find the value of v.

2 = log_v4

2

300

Solve the value of the logarithm. 

log₇ (5/9)

-0.302

400

Write the expression as a single logarithm. 

log6 - log3 + 2log7

log98

500

The value of a new car is $23,000 in 1998; it loses 15% of its value each year. Write and evaluate an expression to estimate the car's value in 2005.

23,000(0.85)^t

$7,373

Minie

100

Growth or Decay?

f(x) = 5(1.06)^x

Growth

200

Find the value of v.

2 = log₁₂v

144

300

Solve the value of the logarithm. 

log₇ 35

1.827

400

Evaluate the expression.

2^log₂¹²

12

500

For the compounding period given, find the final amount of a $2,400 investment after 12 years at an annual interest rate of 4.5%. 

Solve for Annually

$4,070.12

Mo

100

Growth or Decay?

f(x) = 25(2/5)^x

Decay

200

Find the value of v.

-3 = log₂v

1/8

300

Solve the value of the logarithm. 

log_1.5 10

5.68

400

Evaluate the expression. 

log₇7³

3

500

For the compounding period given, find the final amount of a $2,400 investment after 12 years at an annual interest rate of 4.5%. 

Solve for Quarterly

$4,106.02

I don't know

100

Write 5² = 25 in logarithmic form.

log₅25 = 2

200

Find the value of v.

v = log₄(1/16)

-2

300

Write log₃(1/9) = -2 in exponential form

3^-2 = 1/9

400

Solve the equation. 

3 + 7^3x+1 = 346

2/3

500

For the compounding period given, find the final amount of a $2,400 investment after 12 years at an annual interest rate of 4.5%. 

Solve for Daily

$4,118.28