Math Problem Statement
Rewrite the exponential equation 5^3 = 125 in logarithmic form.
Solution
To convert the given exponential equation into logarithmic form, we start from the statement:
In exponential form, this means that the base , the exponent , and the result . To rewrite this in logarithmic form, we use the relationship:
Substituting the values:
Therefore, the logarithmic form of is:
This is the answer that should go in the blank box.
Would you like further details or explanations?
Here are five related questions you might find useful:
- What is the logarithmic form of ?
- How do you convert from logarithmic to exponential form?
- What are the properties of logarithms that can simplify calculations?
- How do you evaluate ?
- What is the natural logarithm and how does it differ from other logarithms?
Tip: Remember that logarithms are the inverse operation of exponentiation, meaning they "undo" exponents.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
x = b^y if and only if y = log_b(x)
Theorems
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Suitable Grade Level
Grades 9-10