Math Problem Statement
Write the equation 81 = 9^2 in logarithmic form.
Solution
To express the equation in logarithmic form, recall that the general form of a logarithmic equation is:
Where is the base, is the result, and is the exponent. In this case, can be written in logarithmic form as:
So, the logarithmic form of the given equation is:
Let me know if you need further clarification or have any more questions!
Here are 5 related questions you may find helpful:
- How do you convert other exponential equations to logarithmic form?
- What is the inverse relationship between logarithms and exponents?
- How do you solve logarithmic equations?
- What are the properties of logarithms?
- Can logarithms be used to simplify equations involving large exponents?
Tip: Always make sure the base and the result in the logarithmic form match the base and result in the exponential form!
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Math Problem Analysis
Mathematical Concepts
Exponents
Logarithms
Base-Exponent Relationships
Formulas
log_b(a) = c ⇔ b^c = a
Theorems
Logarithmic-Exponential Relationship
Suitable Grade Level
Grades 8-10