Understanding Common Logarithms

What is the base of a common logarithm when no base is specified?

• Base 5

• Base 2

• Base 10

• Base e

How do you round the result of log 6 to the nearest 10,000th?

• By looking at the third decimal place

• By looking at the second decimal place

• By looking at the fifth decimal place

• By looking at the fourth decimal place

In the context of sound intensity, what does the 'L' in the equation L = 10 log(I/M) represent?

• Level of frequency

• Logarithm of intensity

• Length of the sound wave

• Loudness in decibels

If the loudness of a jet plane is 125 dB, how many times more intense is it compared to the minimum audible sound?

• 10^25 times

• 10^1.25 times

• 10^12.5 times

• 10^125 times

What is the result of log(62) divided by log(5) rounded to four decimal places?

• 2.5643

• 3.5643

• 1.5643

• 4.5643

When solving the inequality 3^(7x) > 2^(5x - 3), what is the first step?

• Add 3 to both sides

• Multiply both sides by 2

• Take the logarithm of both sides

• Subtract 5x from both sides

What is the change of base formula for log base a of n?

• log base n of a / log base b of n

• log base a of n / log base a of b

• log base a of b / log base n of b

• log base b of n / log base b of a

How do you express log base 10 of 140 using the change of base formula?

• log base 10 of 140 / log base 10 of 5

• log base 140 of 10 / log base 5 of 10

• log base 10 of 5 / log base 10 of 140

• log base 5 of 140 / log base 10 of 5

What is the result of log base 10 of 140 divided by log base 10 of 5?

• 3.74

• 2.74

• 4.74

• 1.74

What should students ensure before starting the practice questions?

• They have a textbook

• They have a calculator

• They have a computer

• They have a pen and paper