Logarithmic Functions and Their Properties Quiz

Test your understanding of logarithmic functions with these questions on properties, identities, and evaluations.

#1

What is the logarithm of 1000 with base 10?

2
3
4
5
#2

Simplify log(base 2)(8) + log(base 2)(2).

2
3
4
5
#3

What is the value of log(base 5)(125)?

2
3
4
5
#4

Solve for x: log(base 5)(x) = 2.

5
10
25
50
#5

What is the value of log(base 4)(64)?

2
3
4
5
#6

What is the value of log(base 3)(27)?

1
2
3
4
#7

If log(base 10)(x) = 2, what is the value of x?

10
100
1000
10000
#8

What is the logarithmic form of the equation 3^2 = 9?

log(3, 2) = 9
log(2, 3) = 9
log(9, 3) = 2
log(9, 2) = 3
#9

If log(base x)(8) = 3, what is the value of x?

2
3
4
5
#10

If log(base 2)(x) = 3, what is the value of x?

2
4
8
16
#11

Which property states that log(a*b) = log(a) + log(b)?

Power Rule
Product Rule
Quotient Rule
Change of Base Formula
#12

Which property states that log(a/b) = log(a) - log(b)?

Power Rule
Product Rule
Quotient Rule
Change of Base Formula
#13

If log(base 2)(x) = 5 and log(base 2)(y) = 3, what is log(base 2)(x*y)?

5
8
15
2
#14

Evaluate log(base 4)(2) + log(base 4)(8).

1
2
3
4
#15

Evaluate log(base 3)(9) - log(base 3)(3).

0
1
2
3

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