How To Evaluate a Logarithm To a Square Root of a Number Without a Calculator

The video tutorial explains how to simplify logarithmic expressions with different bases, specifically focusing on the case of log base six of the square root of six. It begins by reviewing basic logarithmic properties, such as log base B of B equals one and log base A of A raised to the X equals X. The tutorial then addresses the challenge of having different bases and no exponent, leading to the need to rewrite the square root as a rational exponent. By doing so, the expression can be evaluated using known logarithmic properties, resulting in a simplified form.

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