Math Problem Statement
find out the value of x, if x is a positive number such that 3x = 2log3
Solution
We have the equation . To find the value of , we can solve the equation step by step.
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Start with the given equation:
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We need to isolate . Divide both sides of the equation by 3:
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Simplify the expression: Since the problem asks for as a positive number, we simply evaluate the right-hand side.
Therefore, the value of is .
If you need further details or have any questions, feel free to ask! Here are five related questions:
- What is the numerical value of ?
- How would the solution change if the base of the logarithm were different?
- Can this equation have a negative solution for ?
- How do you solve a logarithmic equation with variables in both the logarithm and the coefficient?
- What is the significance of logarithmic functions in solving equations like this?
Tip: When solving equations with logarithms, make sure to understand the base of the logarithm and how it affects the solution.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Equations
Formulas
Logarithm properties
Theorems
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Suitable Grade Level
Grades 11-12