Math Problem Statement
5 log 49
Solution
The expression you provided is:
Using logarithmic properties, you can factor out the constant 5:
Now, calculate :
So the expression simplifies to:
Hence, .
If you need the decimal value of , we can approximate it:
Thus,
Would you like further details or have any questions?
Here are 5 related questions you might find useful:
- What are the properties of logarithms?
- How does the change of base formula work in logarithms?
- How do you simplify expressions with logarithmic exponents?
- What is the relationship between natural logs and common logs?
- How can logarithms be used to solve exponential equations?
Tip: Always remember that logarithms help simplify exponential expressions by turning multiplication into addition and powers into multiplication.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponentiation
Formulas
log(a^b) = b log a
Theorems
Logarithmic Power Rule
Suitable Grade Level
Grades 9-12