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Logarithm Product

Authored by Anthony Clark

Mathematics

10th Grade

Logarithm Product
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression log2 8 + log2 32 using the product rule of logarithms.

log2 16

log2 40

log2 256

log2 10

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If log5 x = 3 and log5 y = 2, find log5 (x2 y3) using the power rule of logarithms.

12

25

10

5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If log6 a = 2 and log6 b = 3, find log6 (a2 * b3) using the power rule of logarithms.

log6 (a3 * b2)

13

log6 (a5 * b5)

log6 (a2 + b3)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify log9 81 + log9 3 using the product rule of logarithms.

log927

log9 9

log9324

log9 243

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

log (a2 * b) = ?

2log(a) + log(b)

2log(a) + 2log(b)

log(a) + log(b)

2log(a) * log(b)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following illustrates the Product Property of Logarithms?

log3 (x) ⋅ log3 (y) = log3 (x+y)

log3 (x) ⋅ log3 (y) = log3 (xy)

log3 (x) + log3 (y) = log3 (xy)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following illustrates the Product Property of Logarithms

log3(x) ⋅ log3(y) = log3(x+y)

log3(x) ⋅ log3(y) = log3(xy)

log3(x) + log3(y) = log3(xy)

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