Solving Logarithmic Equations with Properties of Logs

Solving Logarithmic Equations with Properties of Logs

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Easy

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Liam Anderson

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving logarithmic equations?

Condense the logarithm

Isolate the logarithm

Apply the product rule

Exponentiate both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property allows the cancellation of the base and the logarithm?

Quotient rule

Inverse property

Product rule

One-to-one property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of exponentiating both sides of a logarithmic equation?

A quadratic equation

Isolation of the variable

Application of the quotient rule

Cancellation of the logarithm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving ln(2x) = 4, what base is used for exponentiation?

Base 4

Base 10

Base 2

Base e

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct base for exponentiating both sides of an equation involving a natural log?

Base e

Base 10

Base 2

Base 4

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What rule is applied to condense logarithmic terms before exponentiating?

Product rule

Quotient rule

One-to-one property

Inverse property

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the domain of a logarithmic function exclude?

Zero

Positive numbers

Negative numbers

Irrational numbers

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