Real-Life Applications of Logarithms

What is the value of x when the log of 100 to the base 10 is calculated?

• 2

• 1

• 100

• 10

If the base is 10, what power must it be raised to equal 1000?

• 4

• 2

• 5

• 3

How does using logarithms help when dealing with very large or very small numbers?

• Reduces number size

• Simplifies multiplication

• None of the above

• Increases calculation speed

What is the logarithm of 1000 to the base 10?

• 10

• 2

• 1000

• 3

Why can't large numbers be directly marked on a standard number line?

• They are negative

• They are too small

• They fit perfectly

• They are too large

What does a logarithmic scale, like the Richter scale, help with?

• Increasing visibility

• Reducing number variation

• None of the above

• Decreasing accuracy

What magnitude on the Richter scale would an earthquake be if it is 1000 times stronger than a base measure?

• 12

• 3

• 6

• 9

How much stronger is an earthquake that measures 9.0 on the Richter scale compared to one that measures 7.0?

• 100 times

• 10 times

• 1000 times

• 10000 times

If the Richter scale measures an earthquake at 6.0, what is the actual magnitude of the earthquake?

• 100

• 1000

• 100000

• 1000000

What is the purpose of using a logarithmic scale like the Richter scale?

• To measure water depth

• To measure earthquakes

• To measure light

• To measure sound