Math Problem Statement

Rewrite as a logarithmic equation 2^5=32

Solution

The equation 25=322^5 = 32 can be rewritten as a logarithmic equation:

log232=5\log_2{32} = 5

This means that 5 is the exponent to which the base 2 must be raised to obtain 32.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you express 34=813^4 = 81 as a logarithmic equation?
  2. What is log5125\log_5{125} in exponential form?
  3. Can you solve for xx in the equation 2x=162^x = 16 using logarithms?
  4. What is the value of log264\log_2{64}?
  5. How do you express the equation 103=100010^3 = 1000 as a logarithmic equation?

Tip: When converting between exponential and logarithmic forms, remember that the base of the exponent becomes the base of the logarithm.

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithms

Formulas

Exponential form: $a^b = c$
Logarithmic form: $\log_a{c} = b$

Theorems

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Suitable Grade Level

Grades 9-12