Math Problem Statement

solve 2c

solve 2c

Solution

The problem in 2(c) asks to solve the equation:

y=logx3y = \log_x 3

Here, yy represents the logarithm of 3 with base xx. To solve for xx, you can rewrite the equation in its exponential form:

xy=3x^y = 3

Since the logarithmic equation is y=logx3y = \log_x 3, we now have xy=3x^y = 3. To determine xx, you would need additional information such as a specific value for yy or other conditions to find a solution.

If there are specific values or more context, feel free to provide them, and I will help solve further.

Would you like further details on how logarithmic equations work?

Here are 5 related questions for deeper understanding:

  1. How do you solve an exponential equation like xy=3x^y = 3?
  2. What are logarithmic properties that help simplify equations?
  3. How do you convert between logarithmic and exponential forms?
  4. What happens when the base of a logarithm is less than 1?
  5. How can logarithmic and exponential equations be used in real-world scenarios?

Tip: When solving logarithmic equations, always remember to check the domain. The argument of a logarithm must be positive, and the base must be greater than zero and not equal to one.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Equations

Formulas

y = log_x(3)
x^y = 3

Theorems

Logarithmic to Exponential Conversion

Suitable Grade Level

Grades 9-12