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Problem 9

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log \left(\frac{x}{100}\right) $$

Problem 9

In Exercises \(1-10,\) approximate each number using a calculator. Round your answer to three decimal places. $$ e^{-0.95} $$

Problem 10

In Exercises \(1-10,\) approximate each number using a calculator. Round your answer to three decimal places. $$ e^{-0.75} $$

Problem 10

Write each equation in its equivalent logarithmic form. $$ 5^{4}=625 $$

Problem 10

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log \left(\frac{x}{1000}\right) $$

Problem 11

Write each equation in its equivalent logarithmic form. $$ 2^{-4}=\frac{1}{16} $$

Problem 11

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{4}\left(\frac{64}{y}\right) $$

Problem 12

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ f(x)-5^{x} $$

Problem 12

Write each equation in its equivalent logarithmic form. $$ 5^{-3}=\frac{1}{125} $$

Problem 12

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{5}\left(\frac{125}{y}\right) $$

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