Solving Exponential Equations and Logarithms

Solving Exponential Equations and Logarithms

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers solving exponential equations using logarithms, including simple and complex cases. It explains the use of logarithmic properties, handling quadratic equations with exponents, and dealing with infeasible solutions. The tutorial also demonstrates solving equations with different bases and using graphical methods for solutions.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary tool used to solve exponential equations in this tutorial?

Graphical methods

Logarithms

Algebraic manipulation

Trial and error

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms is emphasized for solving exponential equations?

log base 10 of x equals 1

log base a of a^x equals x

log base 2 of x equals x^2

log base e of x equals ln(x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 64 be expressed as a power of 2?

2^4

2^5

2^7

2^6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the equation 2^(x+1) = 64?

x = 4

x = 5

x = 6

x = 7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of equation is formed when solving e^(-x^2) = e^(2x-3)?

Cubic equation

Linear equation

Exponential equation

Quadratic equation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions to the quadratic equation x^2 + 2x - 3 = 0?

x = -3 and x = 1

x = 3 and x = -1

x = 0 and x = 3

x = 2 and x = -2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 9^x - 2*3^(x+1) - 27 = 0, what substitution is used to simplify it?

3^x = t

9^x = t

x = t

27 = t

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