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Logarithm Sample Questions:

Question 1: Convert the exponent in logarithmic form. 

 

Answer: 

Explanation: Use the equivalence to rewrite the terms.

 

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Question 2: Rewrite the following term. 


Answer: 

Explanation: Use the log rule.

 

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Question 3: Simplify the expression in the form. 

 

Answer: 

Explanation: Use the log rule.

 

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Question 4: Evaluate .

 

Answer: 

Explanation: Use the log rule.

 

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Question 5: Solve: 

 

Answer: 

Explanation: Use the log rules to simplify.

 

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Question 6: Evaluate: 

 

Answer: 

Explanation: Use the change of base rule.

 

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Question 7: Find the value of the function for

 

Answer: 

Explanation: Plug the value of x, and solve. 

 

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Question 8: Solve: 

 

Answer: 

Explanation: Isolate the exponent part.

 

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Question 9: Simplify: 

 

Answer:

Explanation: Use the change of base rule.

 

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Question 10: Evaluate .

 

Answer: 

Explanation: Use the log rule.

 

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