Solving Exponential equations

Solving Exponential equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve an equation using the one-to-one properties of logarithms. It begins by introducing the problem and the need to use logarithms. The instructor then discusses the importance of choosing the same base, specifically the natural logarithm with base e. The properties of natural logarithms are applied to solve the equation, and the final solution is calculated using a calculator. The tutorial concludes with a demonstration of the solution process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main issue when trying to solve X = 5 using powers of E?

5 is not a valid exponent.

E cannot be raised to any power to equal 5.

E is not a real number.

Logarithms cannot be used with E.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to choose the same base when using logarithms?

To avoid complex numbers.

To maintain the one-to-one property.

To simplify the calculation.

To ensure the logarithm is valid.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What base does the natural logarithm (Ln) use?

Base 5

Base E

Base 2

Base 10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of solving X = -Ln(5)?

Approximately 1.61

Exactly 5

Approximately -1.61

Exactly -5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms is used to solve the equation in the final step?

Product property

Inverse property

Power property

Quotient property

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