Question: 1. Write 2 5 = 32 in logarithmic form. 2. Write the exponential equation as a logarithmic equation. 5 1 =1/5 3. Use properties of

1. Write 25 = 32 in logarithmic form.

2. Write the exponential equation as a logarithmic equation.

51 =1/5

3. Use properties of logarithms or a definition to simplify each expression. Check each result with a change-of-base formula.

a. log2 8

b. log7 (1/7)

4. If f(x) = ln (x), find f(e7x). f(e7x) =

5. If f(x) = ex, find f(ln 9).

6. Write the expression as the sum or difference of two logarithmic functions containing no exponents.

log(x/x+5)

7. Use the properties of logarithms to write the expression as a single logarithm.

ln(8x) ln(7y)

8. Use the properties of logarithms to write the expression log6(x+9) + (1/7)log6x.

answer:

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