Math Problem Statement
Write the expression log(2) + log(x) as a single logarithm. Assume that variables represent positive numbers.
Solution
The expression provided is:
Using the logarithmic property that states:
The expression can be rewritten as a single logarithm:
So, the answer is:
Let me know if you'd like a further explanation or have any other questions!
Here are 5 related questions for deeper understanding:
- How would you simplify ?
- What is the expanded form of ?
- Can be split into two logarithms?
- What is the base of the logarithm used here if it’s not specified?
- How do logarithmic rules apply to division, such as ?
Tip: Always double-check if the logarithmic expression is asking for simplification or expansion to apply the appropriate rule.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Simplification of Logarithmic Expressions
Formulas
log(a) + log(b) = log(a * b)
Theorems
Properties of Logarithms
Suitable Grade Level
Grades 9-12