Logarithm

Quantitative Aptitude

Page 3 of 3 • 30 total questions

Quantitative Aptitude • Logarithm
1 markView Details

If logₓy = 2 and log₂x = 4, what is the value of y?

A

16

B

256

C

512

D

1024

Quantitative Aptitude • Logarithm
1 markView Details

If log₂[log₃(log₂x)] = 1, then what is the value of x?

A

512

B

256

C

1024

D

2048

Quantitative Aptitude • Logarithm
1 markView Details

What is the value of (log₃4)(log₄5)(log₅6)(log₆7)(log₇8)(log₈9)?

A

1

B

2

C

3

D

4

Quantitative Aptitude • Logarithm
1 markView Details

If log₅(x) + log₅(y) = 1 and x² + y² = 25, what is the value of xy?

A

5

B

10

C

15

D

20

Quantitative Aptitude • Logarithm
1 markView Details

If log₁₀(x² - 6x + 45) = 2, what are the possible values of x?

A

11 or -5

B

5 or 1

C

3 or -1

D

No real solution

Quantitative Aptitude • Logarithm
1 markView Details

If a² + b² = 7ab, then log[(a+b)/3] = ?

A

(1/2)(log a + log b)

B

log a + log b

C

(1/3)(log a + log b)

D

2(log a + log b)

Quantitative Aptitude • Logarithm
1 markView Details

Solve for x: logₓ2 + logₓ4 + logₓ8 + logₓ16 = 10

A

2

B

4

C

8

D

16

Quantitative Aptitude • Logarithm
1 markView Details

If log₇2 = m, then what is log₄₉(28) in terms of m?

A

(1+2m)/2

B

(1+m)/2

C

2(1+m)

D

(1+2m)/4

Quantitative Aptitude • Logarithm
1 markView Details

If log₁₀2 = 0.3010, log₁₀3 = 0.4771, what is the value of log₁₀√(0.72)?

A

-0.0714

B

-0.0645

C

0.0745

D

0.0645

Quantitative Aptitude • Logarithm
1 markView Details

If log₂(3x - 7) - log₂(x - 1) = 1, what is the value of x?

A

3

B

5

C

7

D

9

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