Math Problem Statement

rewrite the equation in exponential form.

Solution

To rewrite an equation in exponential form, you'll need to identify the logarithmic expression (if given) and convert it into its equivalent exponential form. Here's the general format:

For a logarithmic equation:
logb(a)=c\log_b(a) = c The equivalent exponential form is:
bc=ab^c = a

If you have a specific logarithmic equation, feel free to share it, and I can guide you on how to rewrite it in exponential form!

Would you like to provide an equation, or do you need further explanation?

Here are five related questions to explore the concept further:

  1. How do you convert a natural logarithmic equation (involving ln) to exponential form?
  2. Can you explain how logarithmic and exponential functions are inverse of each other?
  3. How would you express log10(100)=2\log_{10}(100) = 2 in exponential form?
  4. What is the process of solving exponential equations?
  5. How does changing the base of a logarithmic function affect its exponential form?

Tip: The base of the logarithm always becomes the base of the exponent when converting to exponential form.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(a) = c is equivalent to b^c = a

Theorems

Logarithmic-Exponential Inverse Relationship

Suitable Grade Level

Grades 9-12