Help with this logarithmic equation

  • Thread starter mycrafish
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    Logarithmic
In summary, the logarithmic equation is a mathematical expression that involves the use of logarithms, which are the inverse of exponentials. These equations can be used to solve for unknown variables or to model real-life situations that involve exponential growth or decay. When solving a logarithmic equation, it is important to use the properties of logarithms and follow the appropriate steps to isolate the variable. It is also helpful to understand the relationship between logarithms and exponentials in order to properly interpret the solution.
  • #1
mycrafish
2n *logn =0.1 *n^2

solve for n

please and thanks!
pozhalste e spaciba!
por favor a obrigadao
 
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  • #3
what level is this? high school?
 
  • #4
Also, before anyone can "help" you, you need to show what you have tried so we will know what kind of help you need.
 

Related to Help with this logarithmic equation

1. What is a logarithmic equation?

A logarithmic equation is an equation in which the variable appears in the exponent. It can be written as logb(x) = y, where b is the base, x is the input or argument, and y is the output or result.

2. How do I solve a logarithmic equation?

To solve a logarithmic equation, you can use the properties of logarithms and algebraic manipulation. Remember that the logarithm of a number is the power or exponent to which the base must be raised to get that number. You can also use a calculator or online solver for more complex equations.

3. What are the common logarithms and natural logarithms?

The common logarithm, denoted as log(x) or log10(x), has a base of 10 and is commonly used in mathematics and sciences. The natural logarithm, denoted as ln(x) or loge(x), has a base of e (approximately 2.718) and is often used in calculus and other advanced mathematical concepts.

4. How can I check if my solution to a logarithmic equation is correct?

You can check your solution by plugging it back into the original equation and seeing if it satisfies the equation. You can also graph both sides of the equation and see if they intersect at the solution.

5. What are some real-life applications of logarithmic equations?

Logarithmic equations have many practical applications, such as in finance, biology, and acoustics. For example, the Richter scale uses a logarithmic equation to measure the magnitude of earthquakes, and the decibel scale uses a logarithmic equation to measure the intensity of sound.

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