Math Problem Statement

36log6=

Solution

The equation 36log636 \log 6 is asking for the multiplication of 36 by the logarithm of 6. The logarithm here is typically assumed to be the common logarithm (base 10) unless otherwise specified.

Let's calculate this:

36log10636 \log_{10} 6

The logarithm of 6 in base 10 is approximately:

log1060.7782\log_{10} 6 \approx 0.7782

So:

36×0.778228.03636 \times 0.7782 \approx 28.036

Thus, 36log628.03636 \log 6 \approx 28.036.

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

Here are some related questions:

  1. What is the value of 20log520 \log 5?
  2. How do you calculate the logarithm of a number in a different base?
  3. What is the difference between natural logarithm and common logarithm?
  4. How would you solve xlog6=12x \log 6 = 12 for xx?
  5. What is the logarithm of 1 in any base?

Tip: When dealing with logarithms, it's important to know the base. If no base is specified, it is often assumed to be base 10 (common logarithm) or base ee (natural logarithm).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Logarithms
Arithmetic Operations

Formulas

Logarithm multiplication rule

Theorems

-

Suitable Grade Level

Grades 10-12