Understanding Logarithms and Their Applications

What is the value of X in the equation Log base 4 of 16 equals X?

• 3

• 4

• 2

• 1

If the base is not specified in a logarithmic equation, what base should you assume?

• 10

• e

• 5

• 2

What is the log of 1000 when using base 10?

• 1

• 2

• 3

• 4

How would you express 0.1 in scientific notation?

• 10^-2

• 10^-1

• 10^1

• 10^0

How do you solve for X in the equation 10^X = 0.001?

• X = -3

• X = 3

• X = 0.001

• X = 1

When dealing with a number greater than 1, how do you determine the log value quickly?

• Divide by 10

• Multiply by 10

• Count the decimal spaces

• Count the zeros

What is the log of 0.01 in base 10?

• -1

• 2

• -2

• 1

If a number is close to 0, how should you approximate its log value?

• Round down

• Count zeros

• Round up

• Count decimal spaces

What is the pH of a solution with a hydronium concentration of 0.0065?

• 2.2

• 2.5

• 3.2

• 3.5

How do you handle a log problem with a number like 93?

• Use exact value

• Round to 100

• Round to 90

• Round to 95