Math Problem Statement
Solution
The given problem asks you to rewrite the logarithmic equation as an exponential equation using the property from Theorem 6.2, which states that:
Step-by-step solution:
You are given:
Using the property from the theorem, can be rewritten as .
In this case:
- ,
- ,
- .
So, you can rewrite the logarithmic equation as the exponential equation:
This confirms that , so the rewritten exponential form is correct.
Would you like any further clarification on this, or need help with more examples?
Related questions:
- What is the exponential form of ?
- Can you convert into exponential form?
- How would you rewrite in exponential form?
- How do you express as an exponential equation?
- Can you explain why for any base ?
Tip:
To convert a logarithmic equation into exponential form, remember that is equivalent to , which can help simplify or solve many problems related to logarithms.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
log_b(c) = a is equivalent to b^a = c
Theorems
Theorem: b^a = c if and only if log_b(c) = a
Suitable Grade Level
Grades 8-10