Math Problem Statement
Rewrite the logarithmic expression as a single logarithm with the same base. log55+log54
Solution
The given expression is:
To combine the two logarithmic terms, you can use the logarithmic property of addition, which states:
Applying this property:
Simplifying the multiplication inside the logarithm:
Thus, the expression as a single logarithm is:
Would you like more details on logarithmic properties or have any questions?
Here are 5 related questions:
- How do you simplify ?
- What is the value of for any base ?
- How do you expand ?
- Can ever be negative? If so, under what conditions?
- How do you convert a logarithmic equation into an exponential form?
Tip: Remember, the logarithm of a product can be split into a sum of logarithms using the product rule of logarithms.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Formulas
log_b{x} + log_b{y} = log_b{(xy)}
Theorems
Logarithm Product Rule
Suitable Grade Level
Grades 9-10