Math Problem Statement

log 72 = ____

Solution

The expression in the image asks to calculate log72\log 72.

If this is a logarithm with base 10 (common logarithm), we can calculate it using a calculator:

log10721.8573\log_{10} 72 \approx 1.8573

So,

log721.8573\log 72 \approx 1.8573

Would you like more details on how logarithms are calculated or any related concepts?

Here are 5 questions to deepen your understanding:

  1. What is the difference between natural logarithms and common logarithms?
  2. How does the change of base formula work for logarithms?
  3. What are the properties of logarithms, such as the product, quotient, and power rules?
  4. How can you use logarithms to solve exponential equations?
  5. How is the logarithmic scale used in real-life applications, like measuring sound or earthquakes?

Tip: When solving logarithmic problems, ensure you know the base of the logarithm (common or natural) to apply the correct method for solving!

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(x) = y if and only if b^y = x
Common logarithm log_10(x)

Theorems

Logarithm properties (product, quotient, power)
Change of base theorem

Suitable Grade Level

Grades 9-12