Math Problem Statement

³ log 9=2

Solution

The equation you're providing is:

3log9=23^{\log 9} = 2

If we attempt to solve this equation for log9\log 9, we first recognize that this is a logarithmic equation with a base 33.

First, express log9\log 9 in terms of logarithms:

3log9=23^{\log 9} = 2

This is an incorrect equation based on the standard interpretation of logarithms. Instead, the correct equation should be rechecked or further clarified. Would you like to clarify or review the original problem?

Here are related concepts:

  1. How to solve for the logarithm of a number.
  2. How to convert logarithmic equations to exponential form.
  3. What is the general solution of logarithmic equations?
  4. How do logarithmic identities like change of base work?
  5. Examples of equations using logarithms.

Tip: Always recheck if the bases in logarithmic or exponential equations match, as it affects the solution.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Equations
Change of Base

Formulas

Logarithmic identity: log_b(a) = c implies b^c = a
Change of Base Formula: log_b(a) = log(a) / log(b)

Theorems

Logarithmic Properties
Exponential-Logarithmic Inverse Relationship

Suitable Grade Level

Grades 10-12