Solving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations

10th - 12th Grade

15 Qs

quiz-placeholder

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Solving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations

Assessment

Quiz

Mathematics

10th - 12th Grade

Hard

CCSS
HSF.BF.B.5, HSA.REI.A.2, HSA.CED.A.1

+6

Standards-aligned

Created by

Tasha Bass

Used 14+ times

FREE Resource

15 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation. Check for extraneous solutions.
 log2x+log2(x3)=2\log_2x+\log_2\left(x-3\right)=2  

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

2.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation. Check for extraneous solutions. Round to the nearest hundredth, if necessary.
 ln x+ln (x+4)=3\ln\ x+\ln\ \left(x+4\right)=3  


Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

3.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Media Image

The length l (in centimeters) of a scalloped hammerhead shark can be modeled by the function l=266219e0.05tl=266-219e^{-0.05t}  

 − where t is the age (in years) of the shark. How old is a shark that is 200 centimeters long? Round to the nearest tenth.

4.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Media Image

Fifty grams of radium are stored in a container. The amount R (in grams) of radium present after t years can be modeled by R=50e0.00043tR=50e^{-0.00043t} . After how many years will only 20 grams of radium be present?  Round to the nearest tenth.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

5.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation.
 log2(3x+12)=4\log_2\left(3x+12\right)=4 

6.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation.
 log2(x22x+1)=4\log_2\left(x^2-2x+1\right)=4 

7.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation.
 log3(x2+x+7)=3\log_3\left(x^2+x+7\right)=3 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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