How to Solve These Math Equations for x?

  • MHB
  • Thread starter Vi Nguyen
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In summary, solving a math equation involves using algebraic principles and the order of operations to find the value of the variable. The goal is to make the equation true and understand relationships between quantities. Common mistakes to avoid include not performing the same operation on both sides, incorrect distribution, and calculation errors. To check if the solution is correct, plug it back into the original equation or use a calculator. While calculators can be used, it is important to understand the principles behind solving equations algebraically.
  • #1
Vi Nguyen
13
0
Solve for x:

10^(x) = 105

e^(x) = 100

3^(2x) = 50

0.5*e^(-x) = 0.2

ln x^(2) = 6

5 ln 3x = 12
 
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  • #2
Let's start with the first one, $10^x=105$. Where are you having difficulty?
 

FAQ: How to Solve These Math Equations for x?

What is the meaning of "x" in a math equation?

The variable "x" represents an unknown quantity or value in a math equation. It is a placeholder that can take on different values depending on the given conditions.

How do I solve for "x" in an equation?

To solve for "x" in an equation, you need to isolate the variable on one side of the equation by using inverse operations. This means performing the opposite operation of what is being done to "x" on both sides of the equation until "x" is the only term left on one side.

What are the different methods for solving math equations?

There are several methods for solving math equations, including substitution, elimination, graphing, and using the quadratic formula. The method you use will depend on the type of equation and your personal preference.

Can I check my answer to a math equation?

Yes, you can check your answer to a math equation by plugging in your solution for "x" and simplifying both sides of the equation. If the resulting values are equal, then your solution is correct.

What should I do if I get stuck while solving a math equation?

If you get stuck while solving a math equation, you can try breaking it down into smaller, simpler steps. You can also ask for help from a teacher, tutor, or classmate. It's important to practice and be patient when solving math equations.

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