Math Problem Statement

log 8 is equal to: log 8

Solution

The logarithmic expression log8\log 8 represents the logarithm of 8, and by default, this refers to the base 10 logarithm unless another base is specified.

So, log1080.9031\log_{10} 8 \approx 0.9031.

If you'd like the result in terms of another base, or a breakdown of how this value is derived, let me know!

Would you like more details or have any questions?

Here are 5 questions to expand your understanding:

  1. How is the logarithmic value of a number calculated without a calculator?
  2. What is the natural logarithm of 8 (ln8\ln 8)?
  3. What is log28\log_2 8 and why is it different from log108\log_{10} 8?
  4. How does changing the base of a logarithm affect the result?
  5. How can logarithms be used to solve exponential equations?

Tip: Logarithms are the inverse of exponentiation; they help us find the exponent needed to reach a certain number.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(x) = y, where b^y = x
log_10(8) ≈ 0.9031

Theorems

Logarithms are the inverse of exponentiation
Change of base theorem: log_b(x) = log_a(x) / log_a(b)

Suitable Grade Level

Grades 9-12