Logarithm Review Sheet - Kaotix
Logarithm Review Sheet
Recall that [pic]
1) Write each of the following as a logarithmic expression.
a) [pic] b) [pic] c) [pic]
d) [pic] e) [pic] f) [pic]
2) Write each of the following as an exponential equation.
a) [pic] b) [pic] c) [pic]
d) [pic] e) [pic] f) [pic]
3) Solve each of the following.
a) [pic] b) [pic] c) [pic]
d) [pic] e) [pic] f) [pic]
4) Evaluate each of the following.
a) [pic] b) [pic] c) [pic]
d) [pic] e) [pic] d) [pic]
5) Use the change of base rule to evaluate the following.
a) [pic] b) [pic] c) [pic]
d) [pic] d) [pic] d) [pic]
6) Evaluate each of the following.
a) [pic] b) [pic] c) [pic]
7) Expand each of the following logarithmic expression.
a) [pic] b) [pic]
8) Condense each of the following into a single logarithm.
a) [pic] b) [pic]
9) Solve each of the following.
a) [pic] b) [pic]
10) Solve each of the following.
a) [pic] b) [pic] c) [pic]
11) Solve each of the following.
a) [pic] b) [pic]
12) Solve and check for extraneous solutions.
a) [pic] b) [pic]
13) The population P of a city is given by [pic] where t is the time in years, with t = 0 corresponding to the population in 1950. In 1995, the population was 1,400 people. Find the value of k and use it to estimate the number of people in the year 2010.
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