Factorial Numbers, Logarithms and Exponent Rules

Question 1

What is a logarithm?

Answer 1

A logarithm is used to turn multiplication sums into addition sums and division sums into subtraction sums.

Question 2

What is a factorial?

Answer 2

Factorial notation is a way to simplify writing the result of multiplying consecutive numbers i.e. 5 × 4 × 3 × 2 × 1 = 5! = 120

Question 3

What is the formula for a logarithm?

Answer 3

log_b x = n

Question 4

Write 10^4 = 10,000 as a logarithm

Answer 4

log_10 10,000 = 4

Question 5

Write log_10 10,000 = 4 in standard form

Answer 5

10^4 = 10,000

Question 6

Solve the factorial (25!)/(22!4!)

Answer 6

575