Tutorial - Evaluate a Log with a Larger Base Than the Value Without a Calculator

The video tutorial explains how to solve a logarithmic problem involving log base 6 of 216 by determining the exponent that makes 6 raised to that power equal 216. It then reverses the problem to find what power 216 must be raised to equal 6. The instructor demonstrates using the one-to-one property of exponents to solve the equation and concludes by showing how to evaluate the logarithm without a calculator.

What is the logarithmic expression that corresponds to '6 raised to what power equals 216'?

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How can you express 216 in terms of base 6?

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What property allows you to equate the exponents when the bases are the same?

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What is the value of X when you solve the equation '3X = 1'?

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Explain how to evaluate a logarithm without using a calculator based on the provided text.

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