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Exp and Log MODELS

Authored by Ana Carolina León Gutiérrez

Mathematics

12th Grade

Used 2+ times

Exp and Log MODELS
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16 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for "x": log⁡6(x)=−2\log_6\left(x\right)=-2

x=136x=\frac{1}{36}

x=16x=\frac{1}{6}

x=36x=36

x=−136x=-\frac{1}{36}

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for "x": log⁡(x−7)−log⁡(5)=log⁡(9)\log\left(x-7\right)-\log\left(5\right)=\log\left(9\right)

x = 9

x = 52

x = 45

x = 38

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for "x": −6log⁡4(5x)=−12-6\log_4\left(5x\right)=-12

x=−165x=-\frac{16}{5}

x=516x=\frac{5}{16}

x=−516x=-\frac{5}{16}

x=165x=\frac{16}{5}

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for "x": 64=32(x+1)64=32^{\left(x+1\right)}

Note: remember common bases

x=15x=\frac{1}{5}

x=−15x=-\frac{1}{5}

x=−5x=-5

x=5x=5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The model for continuous exponential population growth or decay is given as follows

False

True

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for "y": 5(−6y)=95^{\left(-6y\right)}=9

x=log⁡(9)6log⁡(5)x=\frac{\log\left(9\right)}{6\log\left(5\right)}

x=−log⁡(9)log⁡(5)x=-\frac{\log\left(9\right)}{\log\left(5\right)}

x=−log⁡(5)6log⁡(9)x=-\frac{\log\left(5\right)}{6\log\left(9\right)}

x=−log⁡(9)6log⁡(5)x=-\frac{\log\left(9\right)}{6\log\left(5\right)}

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for "x": e(x+3)=15e^{\left(x+3\right)}=15

x = ln(15 - 3)

x = ln(15) + 3

x = ln(15) - 3

x = ln(15 + 3)

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