Evaluating a Logarithm with Square Root of a Number as a Base

Evaluating a Logarithm with Square Root of a Number as a Base

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate a logarithmic expression by rewriting it as an equation and converting it into exponential form. The instructor demonstrates the use of exponential properties, such as the one-to-one property and power rules, to solve for the unknown variable. The process involves expressing the base and the result in terms of the same base, simplifying the expression, and solving for the variable using algebraic manipulation.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use the power to power rule in the context of logarithms.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of X when solving the equation sqrt 3 raised to the power of X equals 9?

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