Logarithmic to Exponential Conversion Worksheet
Practice converting logarithmic equations to their equivalent exponential form for Grade 9 Math students.
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Logarithmic to Exponential Conversion
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Convert each logarithmic equation into its equivalent exponential form. Remember the definition: If log_b(x) = y, then b^y = x.
1. log₅(25) = 2 →
2. log₃(81) = 4 →
3. log₂(1/8) = -3 →
4. log₁₀(1000) = 3 →
5. Convert log₆(36) = 2 to exponential form.
6. Convert logₓ(y) = z to exponential form.
7. Which of the following is the exponential form of log₄(64) = 3?
3⁴ = 64
4³ = 64
64³ = 4
64⁴ = 3
8. The exponential form of log₇(49) = 2 is 2⁷ = 49.
True
False
9. Explain in your own words the relationship between logarithmic and exponential forms, using an example.
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