Use inverse operation to solve exponential equation without one to one property

Use inverse operation to solve exponential equation without one to one property

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving exponential equations by isolating the exponent and using the one-to-one property. When the one-to-one property is not applicable, logarithms are introduced as a method to solve the equations. The tutorial provides a step-by-step guide on applying logarithms, including taking the logarithm of the same base as the exponent. The video concludes with a reflection on the learning process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an exponential equation?

Multiply both sides by a constant

Isolate the exponent

Add a constant to both sides

Divide both sides by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When can the one-to-one property be used in solving exponential equations?

When the bases are different

When the bases are the same

When the exponents are different

When the exponents are equal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if the one-to-one property cannot be used?

Use the distributive property

Change the base of the exponent

Use the quadratic formula

Apply the rules of logarithms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which base should be used when taking the logarithm to solve an exponential equation?

The base of the exponent

Base 2

Base 5

Base 9

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

What is the approximate value of log base 10 of 9?

0.954

0.995

0.995

0.954