Math Problem Statement

log 5

Solution

The expression "log 5" typically refers to the logarithm of 5. To evaluate it, you'll need to specify the base of the logarithm. If no base is specified, it is often assumed to be base 10 (common logarithm) or base ee (natural logarithm).

  1. Common Logarithm (Base 10):
    log1050.69897\log_{10} 5 \approx 0.69897

  2. Natural Logarithm (Base ee):
    ln51.60944\ln 5 \approx 1.60944

If you have a specific base in mind, I can calculate it for you.

Would you like further details, or do you have any questions?

Here are 5 related questions to explore further:

  1. What is the logarithm of 10 in base 5?
  2. How do you solve logarithmic equations?
  3. What is the logarithm of 1000 in base 10?
  4. How do logarithms relate to exponents?
  5. How is the natural logarithm used in calculus?

Tip: To change the base of a logarithm, you can use the change of base formula:
logba=logcalogcb\log_b a = \frac{\log_c a}{\log_c b} where cc is any positive number (commonly 10 or ee).

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Functions

Formulas

Common logarithm (Base 10): log_10 a
Natural logarithm (Base e): ln a
Change of base formula: log_b a = log_c a / log_c b

Theorems

Logarithm properties
Change of base theorem

Suitable Grade Level

Grades 9-12