Logarithms

Last Updated :
Discuss
Comments

Question 1

Solve for x: log⁡2⁡(x−3)+log2(x+5)=3

  • 4

  • 3.59

  • 3

  • 3.89

Question 2

If log⁡ab=2 and log⁡bc=3, find log⁡ac.

  • 5

  • 6

  • 3

  • 10

Question 3

Simplify [Tex]\log \left(\frac{1000 \cdot \sqrt{10}}{10^3}\right)[/Tex]

  • 1

  • 0.5

  • 0.3

  • 0.7

Question 4

If log⁡x 2 = a and log⁡x 5 = b, express log⁡x 20 in terms of a and b.

  • 2a+b

  • a+2b

  • 2a

  • 2ab

Question 5

Evaluate: log⁡4 8 + log⁡8 4

  • 11/6

  • 12/6

  • 13/6

  • 10/6

Question 6

If log⁡x 4 = 2 and log⁡x 8 = 3, find x.

  • 4

  • 8

  • 3

  • 2

Question 7

Solve for x if log⁡3 (x+1) − log⁡3 (x−1) = 1

  • 4

  • 2

  • 8

  • none of these

Question 8

If log⁡5 (3x−7) = 2, find x

  • 10.80

  • 10.55

  • 10.67

  • 10.79

Question 9

Solve the following logarithmic equation for x .

2logax = loga18 + loga(x-4).

  • 6, 10

  • 4, 7

  • 12, 6

  • 7, 6

Question 10

If log⁡3 x = 5, find log⁡9 x

  • 2.5

  • 2.75

  • 2.35

  • 2.78

There are 10 questions to complete.

Take a part in the ongoing discussion