Questions

For the first four problems, write the expression as a sum or a difference of logarithms, and then simplify, if possible. State the letter of the correct answer.

1) Write as a sum or a difference of logarithms, and then simplify.

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2) Write as a sum or a difference of logarithms, and then simplify.

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3) Write as a sum or a difference of logarithms, and then simplify.

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4) Write as a sum or a difference of logarithms, and then simplify, if possible.

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For the next four problems, write the expression as a single logarithm, and then simplify, if possible. State the letter of the correct answer.

5) Write the expression as a single logarithm, and then simplify, if possible.

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6) Write the expression as a single logarithm, and then simplify, if possible.

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7) Write the expression as a single logarithm, and then simplify, if possible.

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8) Write the expression as a single logarithm, and then simplify, if possible.

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For the next two problems, evaluate the logarithmic expressions.

9) Evaluate.

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10) Evaluate.

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For the next two problems, solve for “x” and check the answers.

11) Solve for “x”. Check the answer.

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12) Solve for “x”. Check the answer.

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For the next three problems, solve the equation. Round the answers to the nearest hundredth.

13) Solve for “x”.

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14) Solve for “x”.

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15) Solve for “x”.

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For the next five problems, use the change-of-base formula to evaluate the logarithmic expression rounded to the nearest hundredth.

16) Evaluate.

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17) Evaluate.

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18) Evaluate.

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19) Evaluate.

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20) Evaluate.

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Short Answer

21) Explain how to evaluate the log given below and also explain how to check the answer.

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22) Explain how to solve the given equation for “x”.

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