Math Problem Statement
what is the log of 48
Solution
The logarithm of a number depends on the base you are using. By default, logarithms are often calculated in base 10 (common logarithm, denoted as ) or base (natural logarithm, denoted as ).
-
Common Logarithm ():
-
Natural Logarithm ():
If you need the logarithm in a different base, the formula is:
Would you like further details or help with specific calculations? 😊
Here are 5 related questions:
- How is the logarithm of a number calculated without a calculator?
- What is the logarithm of 48 in base 2?
- Can you show the relationship between and ?
- How is the change-of-base formula for logarithms derived?
- What are the practical applications of logarithms in real-life problems?
Tip: The natural logarithm () is commonly used in problems involving growth and decay, especially in sciences and engineering.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithms
Bases of logarithms (base 10, base e)
Change of base formula
Formulas
Common logarithm: log10(x)
Natural logarithm: ln(x)
Change of base formula: log_b(x) = log10(x) / log10(b)
Theorems
Logarithmic properties
Change of base theorem
Suitable Grade Level
Grades 9-12