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Learn to solve an exponential equation by isolating the exponent

Learn to solve an exponential equation by isolating the exponent

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve logarithmic equations using various properties and techniques. It begins with a basic introduction to logarithms and progresses to solving equations by applying the one-to-one property and converting bases. The tutorial also covers the change of base formula, demonstrating how to use it for calculations when specific logarithmic values are not directly available on calculators. The video concludes with practical examples to reinforce the concepts discussed.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to solve the equation 5^X = 3?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you express the equation 5^X = 3 in logarithmic form?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What transformation is applied to isolate the exponent in the equation 5^(X-1) = 7?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the change of base formula used for evaluating logarithms?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the approximate value of X in the equation X = log base 5 of 7 + 1?

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