Understanding Logarithms

What is the value of log base 5 of 3?

• 3/5

• 15

• -2.9

• 0.682

Why are logarithms important in solving equations?

• They are only used in basic math.

• They simplify addition problems.

• They help solve exponential equations.

• They are used in geometry.

Which button on a calculator is used for the common logarithm?

• sqrt

• exp

• log

• ln

What does the 'bacon and eggs' memory aid represent in logarithms?

• Base and answer

• Logarithm and base

• Base and exponent

• Exponent and answer

What is the base of the common logarithm?

• e

• 10

• 5

• 2

What is the change of base formula used for?

• Calculating square roots

• Solving linear equations

• Finding logarithms of any base

• Multiplying numbers

Which of the following is a natural base?

• π

• e

• 5

• 10

What is the approximate value of e?

• 3.14

• 0.577

• 2.718

• 1.618

What is the inverse of an exponential function?

• A linear function

• A trigonometric function

• A quadratic function

• A logarithmic function

What tool was historically used to calculate logarithms before calculators?

• Protractor

• Slide rule

• Abacus

• Compass