Question

Simply log 64 - log 128 + log 32​

Answer 1

log(16)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra II

• Logarithmic Property [Multiplying]:
  `\displaystyle log(ab) = log(a) + log(b)`
• Logarithmic Property [Dividing]:
  `\displaystyle \displaystyle log((a)/(b)) = log(a) - log(b)`

Explanation:

Step 1: Define

Identify

log(64) - log(128) + log(32)

Step 2: Condense

1. Logarithmic Property [Dividing]: log(1/2) + log(32)
2. Logarithmic Property [Multiplying]: log(16)