Using one to one property to solve logarithmic equation

Using one to one property to solve logarithmic equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the relationship between exponents and logarithms, focusing on the one-to-one property. It explains how exponents can be expressed in logarithmic form and vice versa. The tutorial highlights common mistakes students make when solving logarithmic equations and demonstrates how to correctly solve them using the properties of logarithms. Key concepts include the one-to-one property, equality of logarithms with the same base, and the transformation of subtraction into division in logarithmic expressions.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the subtraction of two logarithms be rewritten, and what does this imply for solving logarithmic equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Walk through the steps to solve the equation log base 5 of (X + 1) - log base 5 of X = log base 5 of 2.

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