Math Problem Statement

log796\log796

Solution

The expression log796\log 796 is a logarithm with base 10 (common logarithm) of the number 796. We can compute this value approximately:

log7962.9014\log 796 \approx 2.9014

Would you like more details on how logarithms work or how to compute them? Here are five related questions for further exploration:

  1. What is the natural logarithm of 796?
  2. How do you calculate logarithms with bases other than 10?
  3. What is the logarithm of a product, like log(796×3)\log(796 \times 3)?
  4. How are logarithms used in exponential growth problems?
  5. Can you explain the properties of logarithms, such as the power rule?

Tip: Logarithms can be used to solve exponential equations by "undoing" the exponentiation, helping in a variety of real-world problems like sound intensity and pH levels!

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

\( \log_b(x) = y \) means \( b^y = x \)
\( \log(796) \approx 2.9014 \)

Theorems

Change of Base Formula
Logarithmic Properties: Product, Power, and Quotient Rules

Suitable Grade Level

Grades 10-12