Logarithms & Exponential Functions Test

The population of a pod of bottlenose dolphins is modeled by the functions  $A\left(t\right)=8\left(1.17\right)^t$ , where t is given in years.  To the nearest whole number, what will the pod population be after 3 years?

• 8

• 9

• 13

• 28

Find an exponential equation that passes through the points (0, 4) and (2, 9)

•  $y=4\left(\frac{3}{2}\right)^x$  

•  $4\left(\frac{2}{3}\right)^x$  

•  $\frac{9}{16}\left(4\right)^x$  

• my answer is not here

Sam wants to save $2,500 to go to the next World Cup. To the nearest dollar, how much will he need to invest in an account now with 6.25% APR, compounding daily, in order to reach his goal in 4 years

• $1,947

• $2,000

• $3,209

• My answer is not here

An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest, compounded continuously. How much will the account be worth after 15 years?

• $15,354.17

• $28,011.44

• $29,129.84

• My answer is not here

Evaluate ln(0.716) using a calculator. Round to the nearest thousandth.

Rewrite  $e^{\frac{1}{2}}=m$  as an equivalent logarithmic equation

•  $\log_m=\frac{1}{2}$  

• ln (m) = 1/2

•  $\log_{\frac{1}{2}}m=e$  

• My answer is not here

Tags

CCSS.HSF.BF.B.5

Evaluate log 100,000 without using a calculator

Evaluate log₂4³

• 2

• 4

• 6

• 8

Write  5² = 25  in logarithmic  form

• log₅   2 = 25
• log₅    25  =  2
• log₂  25  = 5
• No Correct Answer

Tags

CCSS.HSF.BF.B.5

Use the change of base formula to evaluate log₃5.

• 3/5

• 5/3

• .6990

• 1.4650