Math Problem Statement
Write the exponential equation in logarithmic form.
103=1000log=3
Solution
To convert the given exponential equation to logarithmic form, follow these steps:
Given Exponential Equation:
Logarithmic Form:
Since without a base is assumed to be base 10, we can simplify:
Would you like a step-by-step breakdown of the conversion process?
Here are five related questions to expand your understanding:
- Convert to logarithmic form.
- Convert to exponential form.
- Solve for in the equation using logarithms.
- What is the difference between natural logarithms () and common logarithms ()?
- How do you evaluate logarithms without a calculator?
Tip: The logarithmic form of an equation helps in solving for exponents, making it useful in exponential growth, decay, and finance problems.
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Math Problem Analysis
Mathematical Concepts
Exponential Equations
Logarithms
Formulas
Exponential form: a^b = c
Logarithmic form: log_a(c) = b
Theorems
Change of base theorem
Suitable Grade Level
Grades 9-11