Exponential and Logarithmic Functions Test

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What is the domain and range of the logarithmic graph ?

• $D\ :\ -3<x<\infty\ \ \ \ \ \ \ \ \ R\ :\ \ y\ >\ -\infty$

• $D\ :\ -3<x<3\ \ \ \ \ \ \ \ \ \ \ \ \ \ R:\ y\le3$

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  $D\ :\ -\infty\ <x<\infty\$ $R:\ y>3$
  

Hint: use a graph and/or table of values to determine the answer

• approximately 16 years

• approximately 6 years

• approximately 10 years

What is the correct function that models an investment of $2000 compounded monthly with an interest rate of 3.4% ?

V(t) is the value, t is time

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Annual sales for a clothing store is $270,000 and are increasing at a rate of 7% per year. What will the sales amount be after three years?

• $250, 341.51

• $330,761.61

• $126,201.10

The bird population in a forest is about 2300 and is decreasing at a rate of 4% per year. What will the population be after 10 years?

• 1829 birds

• 1329 birds

• 1529 birds

convert the exponential equation to a logarithmic equation 

 $2^3\ =\ 8$  

•  $\log_8\ 3\ =\ 2$  

•  $\log_3\ 8\ =\ 2$  

•  $\log_2\ 8\ =\ 3$