Logarithmic Equations and Exponential Forms

Logarithmic Equations and Exponential Forms

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
The video tutorial explains how to solve logarithmic equations by converting them into exponential equations. It covers three examples: solving log base x of 27 equals 3, log base x of 256 equals 4, and a log equation with a negative exponent. The process involves using cube roots and fourth roots to find the base x. The tutorial emphasizes the importance of considering only positive solutions for the base of logarithms.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a logarithmic equation?

Convert it to a polynomial equation

Convert it to a linear equation

Convert it to an exponential equation

Convert it to a quadratic equation

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If log base x of 27 equals 3, what is the value of x?

2

1

4

3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to solve x cubed equals 27?

Fourth root

Fifth root

Cube root

Square root

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation log base x of 256 equals 4, what is the corresponding exponential form?

x^3 = 256

x^4 = 256

x^2 = 256

x^5 = 256

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation log base x of 256 equals 4?

2

3

4

5

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of 256?

8^2

4^4

2^4

2^8

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation log base x of 1/625 equals -4, what is the corresponding exponential form?

x^4 = 625

x^-4 = 625

x^-4 = 1/625

x^4 = 1/625

Tags

CCSS.HSF.BF.B.5

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