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HW Properties of Logs

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Last updated over 2 years ago
24 questions
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Question 1
1.

Use Patterns #1 and #2 to help you evaluate.

Question 2
2.

Use Patterns #1 and #2 to help you evaluate.

Question 3
3.

Use Patterns #1 and #2 to help you simplify.

Question 4
4.

Use Patterns #1 and #2 to help you evaluate.

Question 5
5.

Expand the logarithm. Do NOT evaluate.

Question 6
6.

Expand the logarithm. Do NOT evaluate.

Question 7
7.

Expand the logarithm. Do NOT evaluate.

Question 8
8.

Condense into one logarithm. Do NOT evaluate.

Question 9
9.

Condense into one logarithm. Do NOT evaluate.

Question 10
10.

Condense.

Question 11
11.

Condense into one logarithm and evaluate.

Question 12
12.

Condense into one logarithm and evaluate.

Question 13
13.

Condense into one logarithm and evaluate.

Question 14
14.

Condense into one logarithm and evaluate.

Question 15
15.

Condense into one logarithm and evaluate.

Question 16
16.

Condense into one logarithm and evaluate.

Question 17
17.

Condense into one logarithm and evaluate.

Question 18
18.

Condense into one logarithm and evaluate.

Question 19
19.

Evaluate.

Evaluate the next few problems with your calculator, using the "change of base" formula.
There is an example to the right.
Question 20
20.

Use the change of base formula to evaluate. Round to the hundredths place (2 decimal places).

Question 21
21.

Use the change of base formula to evaluate. Round to the hundredths place (2 decimal places).

Question 22
22.

Use the change of base formula to evaluate. Round to the hundredths place (2 decimal places).

Question 23
23.

Use the change of base formula to evaluate. Round to the hundredths place (2 decimal places).

Question 24
24.

The acidity level, pH, of a liquid is given by the formula:
where h+ is the concentration of hydrogen ions in the water, measured in moles per liter.

Elijah decides to have a pool party for his birthday party. Before the party, the pool had a pH level of 4.8. After everyone went swimming, they measured the pool, and it had a concentration of h+ ions of .00000042 moles per liter.

Find the pH level of the pool AFTER the party and determine how much higher the pH level is now than before the party.


Round to the nearest hundredth.