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Solving Logarithmic Equations

Authored by Susan Choate

Mathematics

9th - 11th Grade

Used 28+ times

Solving Logarithmic Equations
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10 questions

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1.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Solve. Be sure to check for extraneous solutions. logx+log(x+9)=1\log x+\log\left(x+9\right)=1  



(a)  

2.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Solve. Be sure to check for extraneous solutions. log4(2x+12)+5=8\log_4\left(2x+12\right)+5=8  



(a)  

3.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Solve.  Be sure to check for extraneous solutions. log6(x5)=2log6x\log_6\left(x-5\right)=2-\log_6x  

(a)  

4.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Solve.  Be sure to check for extraneous solutions. log9(4x+5)=2\log_9\left(4x+5\right)=2  



(a)  

5.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Solve.  Be sure to check for extraneous solutions. ln8x=ln2+5\ln8x=\ln2+5  
State your answer to the nearest thousandth.

(a)  

6.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Solve.  Be sure to check for extraneous solutions. log2x+log2(x4)=5\log_2x+\log_2\left(x-4\right)=5  



(a)  

7.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Solve.  Be sure to check for extraneous solutions. log2x+log(x5)=2\log2x+\log\left(x-5\right)=2  

(a)  

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