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Solve Exponential Equations

Solve Exponential Equations

Assessment

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.A.1, HSF.BF.B.5, HSF.BF.B.3

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the general form of an exponential equation?

Back

An exponential equation is typically in the form ax=ba^x = b , where aa is a positive constant, xx is the exponent, and bb is a positive number.

2.

FLASHCARD QUESTION

Front

How do you solve an exponential equation with the same base?

Back

To solve an exponential equation with the same base, set the exponents equal to each other and solve for the variable.

3.

FLASHCARD QUESTION

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

How can you express 36 as a power of 6?

Back

36 can be expressed as 626^2 .

5.

FLASHCARD QUESTION

Front

What is the solution to the equation 32x−1×34=33^{2x-1} \times 3^4 = 3 ?

Back

The solution is x=−1x = -1 .

6.

FLASHCARD QUESTION

Front

What is the property of exponents that states am×an=am+na^m \times a^n = a^{m+n} ?

Back

This property is known as the Product of Powers Property.

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is the solution to the equation 33=34x+23^3 = 3^{4x + 2} ?

Back

The solution is x=14x = \frac{1}{4} .

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