TEST_functions, exponentials, log

Expand

• 5log₅ a - 6log₅ b
• 5log₅ a - 30log₅ b
• 5log₅ a + 30log₅ b
• 30log₅ b - 5log₅ a

Simplify the following:  $\log_324-\log_36$  

•  $\log_318$  

•  $\log_3144$  

•  $\log_34$  

•  $\log12$  

•  $18\log3$  

Simplify the following:  $\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)$  

•  $\log_5\left(3rw\right)$  

•  $\log_5\left(3+r-w\right)$  

•  $\log_5\left(\frac{3r}{w}\right)$  

•  $\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}$  

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

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

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) = ±√(x+5)
• f^-1(x) = x² - 5