Logarithm Review Sheet



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.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download