The Product of Two Consecutive Odd Integers Is 783

question 12

Multiple Choice

The product of two consecutive odd integers is 783 . Find two positive integers that satisfy this requirement.

• A) 29 and 31
• B) 27 and 29
• C) 27 and 28
• D) 31 and 33
• E) 25 and 27

---

Definitions:

Logarithm

The exponent or power to which a base must be raised to produce a given number, commonly used in the operations of multiplication and division in a compressed form.

Change-of-Base Formula

A formula that allows the base of a logarithm to be changed, facilitating easier calculation.

Properties of Logarithms

The properties of logarithms are mathematical rules that apply to logarithmic functions, including product, quotient, and power rules.

Logarithm

The power to which a base, such as 10, must be raised to produce a given number. Expressed as \(log_{base}(number) = exponent\).