Exponential, logarithms and rationals functions review

Solve each equation. Round your answers to the nearest ten-thousandth.

• 19.1474

• .9688

• .0971

• -9.0312

Solve the equation. Round your answers to the nearest ten-thousandth.

• .5573

• 5.5732

• -.5573

• 55.7321

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

Tags

CCSS.HSF.BF.B.5

Find the inverse of the function f(x)=5^(x+2)

• f^-1(x)=log₅(x-2)
• f^-1(x)=log₅(x)-2
• f^-1(x)=log₅(x)+2
• f^-1(x)=log₅(x+2)

Tags

CCSS.HSF-BF.B.4A

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2

log₂(x+3)=4

• 16

• 13

• 3

• 10

Solve for x using the same base method.
3^x-20 = 27

• 17
• 27
• -7
• 23

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05