Math Problem Statement

Log 2 64

Solution

To solve log264\log_2 64, we need to determine the power to which 2 must be raised to get 64.

log264=x    2x=64\log_2 64 = x \implies 2^x = 64

Now, express 64 as a power of 2:

64=2664 = 2^6

So,

2x=262^x = 2^6

Therefore, x=6x = 6.

Thus, log264=6\log_2 64 = 6.

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

  1. What is log232\log_2 32?
  2. How would you solve log381\log_3 81?
  3. What is the value of log101000\log_{10} 1000?
  4. How do you evaluate log21\log_2 1?
  5. What is log464\log_4 64?

Tip: Remember, logarithms can be thought of as the inverse operation of exponentiation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(x) = y implies b^y = x

Theorems

Properties of Logarithms
Exponentiation

Suitable Grade Level

Grades 8-10