Math Problem Statement
Rewrite the expression log_3 81 = 4 in equivalent exponential form.
Solution
The expression given is . To rewrite this in exponential form, we can use the following relationship between logarithms and exponents:
In this case:
- The base is 3,
- The result is 4,
- And the number is 81.
Thus, the equivalent exponential form is:
Let me know if you'd like further details or clarifications!
Here are 5 related questions for further exploration:
- How do you convert an exponential equation to logarithmic form?
- What is the general form of an exponential function?
- How do you solve logarithmic equations with different bases?
- Can logarithmic functions be graphed easily? How would you graph ?
- What are some real-world applications of logarithms and exponential functions?
Tip: Always remember that logarithms and exponents are inverse functions of each other!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Logarithms
Exponents
Formulas
log_b a = c is equivalent to b^c = a
Theorems
Logarithmic-Exponential Inverse Relationship
Suitable Grade Level
Grades 8-10