Math Problem Statement

Write the logarithmic equation in exponential form. 0=log21 2 =1

Solution

To rewrite the logarithmic equation 0=log210 = \log_2 1 in exponential form, recall that the general form of a logarithmic equation logbx=y\log_b x = y can be rewritten as an exponential equation:

by=xb^y = x

Now, applying this to 0=log210 = \log_2 1:

20=12^0 = 1

This is the exponential form of the given logarithmic equation.


Would you like any more details or clarification? Here are some related questions:

  1. How do you convert logarithmic equations to exponential form in general?
  2. What is the inverse of a logarithmic function?
  3. Can you simplify logb1\log_b 1 for any base bb?
  4. How do you graph logarithmic functions?
  5. How does the base of a logarithm affect the exponential form?

Tip: When converting between logarithmic and exponential forms, always remember that the logarithmic expression essentially asks "to what power must the base be raised to get the result?"

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Equations

Formulas

log_b(x) = y → b^y = x

Theorems

Logarithmic to Exponential Conversion

Suitable Grade Level

Grades 9-11