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Solving Exponential Equations Quiz

Authored by Carlo Damus

Mathematics

6th Grade

CCSS covered

Solving Exponential Equations Quiz
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the quick method to solve for x in the equation 3^x = 5 using a calculator?

log(3) / log(5)

log(5) / log(3)

log(5) - log(3)

log(3) * log(5)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 3^x = 5 using logarithms?

Divide both sides by 3

Take the log of both sides

Multiply both sides by 5

Subtract 3 from both sides

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After taking the log of both sides in the equation 3^x = 5, what is the next step?

Move x to the front

Subtract log(3)

Divide by log(5)

Multiply by log(3)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 5^(2x+3) = 8, what is the first step to solve it using logarithms?

Multiply both sides by 5

Take the log of both sides

Divide both sides by 8

Subtract 3 from both sides

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 5^(2x+3) = 8 after solving it step-by-step?

1.465

0.2315

-0.854

2.5237

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 3^(x+2) = 4^(2-x), what is the first step to solve it using logarithms?

Multiply both sides by 3

Divide both sides by 4

Take the log of both sides

Subtract 2 from both sides

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of x in the equation 3^(x+2) = 4^(2-x) after solving it?

1.2619

0.5237

1.465

0.2315

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

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