Logarithm review

This assignment will test your understanding of logarithms. Answer the following questions.

  1. 10^1.5 = 31.62, so the log of 31.62 is _______

  2. 10^2.5 = 316.2, so the log of 316.2 is _______

  3. What is the log of 10,000,000? _______

  4. What is the log of 50? _______

  5. What is the log of 500? _______

  6. 10^-1.5 = .03162, so the log of .03162 is _______

  7. 10^-2.5 = .003162, so the log of .003162 is _______

  8. What number has a log of -4? _______

  9. What number has a log of -5? _______

  10. The log of 0 is 1 and the log of 100 is 2. Fifty is half way between 1 and 100, but the log of 50 is not 1.5. Is the log of 50 closer to 1 than 2? Explain your answer.

After you complete this assignment, check your answers using the Log function in Excel. Correct any errors you discover, but be sure you understand your mistakes.

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