Math Problem Statement

Simplify log7 7

Solution

The expression log77\log_7 7 can be simplified as follows:

Recall that logbb=1\log_b b = 1 for any positive base bb. This is because the logarithm asks the question: "To what power must the base be raised to produce the argument?"

In your case:

log77=1\log_7 7 = 1

This is because 71=77^1 = 7.

Would you like further clarification or more examples? Here's a list of related questions you might find interesting:

  1. What is log55\log_5 5?
  2. How do logarithms with different bases work?
  3. What is the property of logarithms when the argument and the base are the same?
  4. Can logbbx\log_b b^x be simplified? If so, how?
  5. How does the change of base formula work?

Tip: Remember that logarithms are the inverse of exponentiation, so understanding how exponentiation works is key to simplifying logarithmic expressions!

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Math Problem Analysis

Mathematical Concepts

Logarithms
Properties of Logarithms

Formulas

log_b b = 1

Theorems

Logarithmic identity

Suitable Grade Level

Grades 8-10