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HW Properties of Logs

Last updated about 3 years ago

24 Nsɛmmisa

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Asemmisa {{asɛmmisaAhyɛnsode}}

1.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Expand the logarithm. Do NOT evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

Expand the logarithm. Do NOT evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

Expand the logarithm. Do NOT evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

Condense into one logarithm. Do NOT evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

Condense into one logarithm. Do NOT evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

Condense.

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

16.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

17.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

18.

Condense into one logarithm and evaluate.

Asemmisa {{asɛmmisaAhyɛnsode}}

19.

Evaluate.

Evaluate the next few problems with your calculator, using the "change of base" formula.

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There is an example to the right.

Asemmisa {{asɛmmisaAhyɛnsode}}

20.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

21.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

22.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

23.

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

Asemmisa {{asɛmmisaAhyɛnsode}}

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.