Practice Change Of Base Formula (3.4) - Introduction to Logarithms - IB 10 Mathematics

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6 sample questions

Question 1.
Convert log_7(49) using the Change of Base Formula.
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What is the value of 49 in terms of 7?
Question 2.
Evaluate log_4(16) using the Change of Base Formula.
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Recall that 16 can be expressed in terms of 4.
3Question 3.
What is the Change of Base Formula?
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Think of how to express it in terms of another base.
4Question 4.
True or False: You can use the Change of Base Formula to solve log_2(16).
- True
- False
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Which base would you convert it to?
Question 5.
Using the Change of Base Formula, calculate log_2(1000). Show all steps.
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Break 1000 down into simpler logarithms if necessary.
Question 6.
If log_8(32) is expressed using the Change of Base Formula, what is the equivalent expression?
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Determining the equivalent bases will help simplify this.

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