Math Problem Statement

log100

Solution

The expression log100\log 100 typically refers to the logarithm of 100, and if no base is specified, it is assumed to be base 10.

Thus, log10100\log_{10} 100 can be solved as:

log10100=2\log_{10} 100 = 2

This is because 102=10010^2 = 100.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is log101000\log_{10} 1000?
  2. How do you calculate log100.01\log_{10} 0.01?
  3. What is the natural logarithm ln(100)\ln(100)?
  4. How do you convert logarithms from base 10 to base ee?
  5. What is the general formula for solving logarithms?

Tip: The logarithm of any power of 10 is simply the exponent, so log1010n=n\log_{10} 10^n = n.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Functions
Base 10 Logarithms

Formulas

log_b(x) = y if and only if b^y = x
log_10(100) = 2

Theorems

Logarithmic Theorem: log_b(b^n) = n

Suitable Grade Level

Grades 8-10