Math Problem Statement
Solve: log2(16)+log(1/1000)
Solution
To solve the expression , let's break it down into two parts:
1. Calculate :
- The base-2 logarithm of 16 can be expressed as:
- Since , we get:
2. Calculate :
- The logarithm of a fraction can be calculated as:
- Using the property , we have:
- Since in base 10 is 1, we get:
3. Add the two results together:
So, the solution is .
Would you like to dive deeper into logarithmic properties, or do you have any other questions?
Here are 5 related questions to explore further:
- How would you solve ?
- What is the value of ?
- How do logarithm properties apply to solve ?
- Can you evaluate and explain why it results in that value?
- What is the inverse function of a logarithm, and how is it used?
Tip: Always remember that for any base because any number raised to the power of zero is 1.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithms
Formulas
Properties of logarithms
Theorems
-
Suitable Grade Level
High School