Intermediate Algebra (11th edition)

Graphing a More Complicated Exponential Function Graph Find some ordered pairs. We let and and find values of or y. Let Let Thes ...

SECTION 10.2 Exponential Functions 583 Solving an Exponential Equation Step 1 Each side must have the same base.If the two sides ...

(c) Write with the same base. Power rule for exponents Set exponents equal. Check that the solution set is 5 - 26. NOW TRY x=- 2 ...

(a) 1900 Because xrepresents the number of years since 1750, Given function Let Use a calculator. The concentration in 1900 was ...

3.The asymptote of the graph of A.is the x-axis B. is the y-axis C.has equation D. has equation. 4.In your own words, describe t ...

Solve each problem. See Examples 6 and 7. 37.Based on figures from 1970 through 2005, the worldwide carbon dioxide emissions in ...

This key statement should be memorized.The abbreviation logis used for the word logarithm.Read as “the logarithm of xwith base a ...

SECTION 10.3 Logarithmic Functions 589 Exponential Form Logarithmic Form 4 -^3 = 641 log 4 641 =- 3 105 =100,000 log 10 100,000= ...

(d) Write in exponential form. Write with the same base. Power rule for exponents Set exponents equal. The solution set is E NOW ...

Graphing a Logarithmic Function Graph We write in exponential form as then choose values for yand find the corresponding values ...

OBJECTIVE 5 Use logarithmic functions in applications involving growth or decay. Solving an Application of a Logarithmic Functio ...

SECTION 10.3 Logarithmic Functions 593 27.Match each logarithm in Column I with its value in Column II. See Example 3. III (a) A ...

Solve each problem. See Example 6. 61.For 1981–2003, the number of billion cubic feet of natural gas gross withdrawals from crud ...

Some graphing calculators have the capability of drawing the inverse of a function. For example, the two screens that follow sho ...

NOTE The word statement of the product rule can be restated by replacing “loga- rithm” with “exponent.” The rule then becomes th ...

Using the Quotient Rule Use the quotient rule to rewrite each logarithm. Assume x 7 0. EXAMPLE 2 SECTION 10.4 Properties of Loga ...

To prove the power rule, let Convert to exponential form. Raise to the power r. Power rule for exponents Convert to logarithmic ...

Properties of Logarithms If x, y, and bare positive real numbers, where and ris any real number, then the following are true. Pr ...

(d) Power rule Quotient rule (e) Power rule Product and quotient rules Multiply in the numerator. (f ) cannot be rewritten using ...

Deciding Whether Statements about Logarithms Are True Decide whether each statement is trueor false. (a) Evaluate each side. Lef ...