Help Needed: Solving Logarithmic Equation

Thread starter jhen
Start date Jan 5, 2009
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Logarithmic

In summary, a logarithmic equation is an equation in which the variable appears in the exponent. It is important to solve because it helps us find the unknown value that makes the equation true, and it has many applications in fields such as mathematics, science, and engineering. To determine if an equation is logarithmic, check for the presence of a logarithm function such as log, ln, or log base a. The steps to solve a logarithmic equation include isolating the logarithm, simplifying using logarithm properties, combining multiple logarithms, using the inverse property to eliminate the logarithm, and checking the solution. A calculator can be used to solve logarithmic equations, but it is important to check the solution algebraically. There are

Jan 5, 2009

jhen

hello..

i don't know where to start solving this problem can you please help me?

log phi of _x (v)= e^-2vx^{^}(1+v/sq.rt.x)^2x-1.
please..I really need your help.

Thank you so much.

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Jan 5, 2009

HallsofIvy

Science Advisor

Homework Helper

I don't see a "problem". You have posted an equation. What do you want to do with it?

You titled this "Taylor's series" but of what function? And with respect to what variable, x or v? Or both?

Last edited by a moderator: Jan 5, 2009

Related to Help Needed: Solving Logarithmic Equation

1. What is a logarithmic equation and why is it important to solve?

A logarithmic equation is an equation in which the variable appears in the exponent. It is important to solve because it helps us find the unknown value that makes the equation true, and it has many applications in fields such as mathematics, science, and engineering.

2. How do I know if an equation is logarithmic?

An equation is logarithmic if it contains a logarithm function, such as log, ln, or log base a. These functions are typically represented by the letters "log" followed by a base (if there is one) and the variable inside parentheses. For example, log₂(x) or ln(x).

3. What are the steps to solve a logarithmic equation?

The steps to solve a logarithmic equation are as follows:

Isolate the logarithm on one side of the equation.
Use the properties of logarithms (product, quotient, and power) to simplify the equation.
If there is more than one logarithm, combine them into a single logarithm.
Use the inverse property of logarithms to eliminate the logarithm and solve for the variable.
Check your solution by plugging it back into the original equation.

4. Can I use a calculator to solve logarithmic equations?

Yes, you can use a calculator to solve logarithmic equations. Most scientific calculators have a "log" button that allows you to input the base and the argument of the logarithm. However, it is important to remember that calculators can only give you an approximate answer, and you should always check your solution algebraically.

5. Are there any special cases or restrictions when solving logarithmic equations?

Yes, there are a few special cases and restrictions to keep in mind when solving logarithmic equations. These include:

The argument of a logarithm must be positive.
The base of a logarithm cannot be 1.
When using the logarithm properties, be careful when taking the logarithm of a product or quotient. The arguments must be positive and the bases must be the same.
When using the inverse property, the argument of the logarithm must be positive and the base must be the same as the base of the logarithm.