Master Evaluating a logarithm without a calculator

The video tutorial explains how to evaluate logarithms without using a calculator. It covers the conversion between logarithmic and exponential forms, the use of negative exponents, and the one-to-one property. The instructor provides examples of evaluating logarithmic expressions, including those with fractions and negative powers, and demonstrates how to solve more complex problems by rewriting expressions and using properties of logarithms.

What is the result of log base 4 of 4 to the negative first power?

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How can you express log base 2 of 8 in terms of powers?

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Explain how to evaluate log base 1/3 of 27.

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What is the value of log base 3 of 27?

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