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Logarithmic Functions

Problems

Two Special Logarithmic Functions

Properties of Logarithms

Problem : Evaluate log 10000000 .

7.

Problem : Evaluate log 36 .

1.556 .

Problem : Evaluate log 4128 .

3.616.

Problem : Evaluate log 512 .

2.709.

Problem : Evaluate ln e 12 .

12.

Problem : Evaluate ln 15 .

2.708.

Problem : Evaluate ln 62 .

4.127.

Problem : If $800 is put into a bank account that yields 7.16% interest, compounded yearly, about how much money is in the account after 6 years?

$1229.31.

Problem : $800 is put into a bank account. After 5 years, there is $1006.88 in the account. What is the yearly compound interest rate of the account?

4.6%.

Problem : An account yields $1400 after 10 years at 6.0% interest, compounded yearly. How much money was put into the account to start?

$768.34

Problem : $1000 is put into an account that yields 15% interest, compounded yearly. The account yields $17287.78. For how many years is it left in the account?

19 years.

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