Solving Exponential Equations

Solving Exponential Equations

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
6.EE.A.2B, 6.EE.A.1, HSF.BF.B.5

+2

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

Define an exponential equation.

Back

An exponential equation is an equation in which a variable appears in the exponent, such as a^x = b.

2.

FLASHCARD QUESTION

Front

What is the base in an exponential expression?

Back

The base is the number that is raised to a power in an exponential expression, e.g., in 5^x, 5 is the base.

Tags

CCSS.6.EE.A.2B

3.

FLASHCARD QUESTION

Front

How do you solve the equation 5^(2x) = 5^(-x)?

Back

Since the bases are the same, set the exponents equal: 2x = -x. Solving gives x = 0.

4.

FLASHCARD QUESTION

Front

What is the property of exponents that allows you to set exponents equal when bases are the same?

Back

If a^m = a^n, then m = n, provided a > 0 and a ≠ 1.

5.

FLASHCARD QUESTION

Front

Solve for x: 3^3 = 3^(4x + 2).

Back

Set the exponents equal: 3 = 4x + 2. Solving gives x = 1/4.

6.

FLASHCARD QUESTION

Front

What is the relationship between 2^x and 4^(x+1)?

Back

4 can be rewritten as 2^2, so 4^(x+1) = (2^2)^(x+1) = 2^(2x + 2). Thus, 2^x = 2^(2x + 2) leads to x = -2.

7.

FLASHCARD QUESTION

Front

How do you rewrite 25 in terms of base 5?

Back

25 can be rewritten as 5^2.

Tags

CCSS.6.EE.A.1

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