Practice Simplify (7.3) - Introduction to Logarithms - IB 10 Mathematics

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6 sample questions

Question 1.
Convert $2^3 = 8$ to logarithmic form.
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Use the definition of logarithm.
Question 2.
Convert $5^2 = 25$ to logarithmic form.
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Remember, you find the exponent.
3Question 3.
What does the Product Rule state?
- A) \$ \\log_a(mn) = \\log_a(m) - \\log_a(n) \$
- B) \$ \\log_a(mn) = \\log_a(m) + \\log_a(n) \$
- C) \$ \\log_a(m^n) = n \\log_a(m) \$
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Remember how logs combine during multiplication.
4Question 4.
Is $\log_2(8) = 3$ TRUE or FALSE?
- True
- False
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Check by transforming it to exponential form.
Question 5.
Simplify $\log_2(16) + \log_2(8) - \log_2(4)$ .
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Combine before calculating!
Question 6.
If $\log_a(m^k) = n$ , what is $m$ in terms of $a$ and $n$ ?
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Use the Power and Exponential properties.

4 more questions in this section. Enroll free to practise them all.