Math Problem Statement
log_(10)(40)+\log _(10)(2,5)
Solution
The given expression is:
We can simplify this using the logarithm property:
So:
Next, multiply and :
Thus:
So, the final answer is:
Would you like more details or have any questions?
Here are some related questions you might find helpful:
- What are the properties of logarithms and how are they used?
- How do you solve logarithmic equations?
- What is the change of base formula for logarithms?
- How do logarithms relate to exponential functions?
- How can you graph logarithmic functions?
Tip: Remember that because . This is a fundamental property of logarithms.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Exponential Functions
Formulas
\( \log_{10}(a) + \log_{10}(b) = \log_{10}(a \times b) \)
Theorems
Logarithm Properties
Suitable Grade Level
Grades 10-12