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xllx
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Homework Statement
0=x(e^-x)
Homework Equations
The Attempt at a Solution
Well as x is a multiple that leaves:
0=e^-x
so does x=0?
Any help at all would be greatly appreciated. Many Thanks.
Last edited:
Mark44 said:Are there any values of x for which e-x = 0?
To simplify an exponential equation, you can use the properties of exponents such as the power rule, product rule, and quotient rule. These rules allow you to manipulate the terms in the equation and combine like terms to simplify the expression. You can also use logarithms to solve for the variable.
The base in an exponential equation is the number being raised to a power, while the exponent is the number that indicates how many times the base is being multiplied by itself. For example, in the equation 23, 2 is the base and 3 is the exponent.
If the bases in an exponential equation are different, you can use the properties of logarithms to solve for the variable. You can either use the change of base formula or use the fact that logarithms are the inverse of exponentials to rewrite the equation in a form where the bases are the same.
Yes, you can also use algebraic techniques such as factoring, completing the square, or the quadratic formula to solve exponential equations. However, logarithms are often the most efficient and straightforward method for solving exponential equations.
To check your answer to an exponential equation, you can plug in the value of the variable you solved for into the original equation and see if it satisfies the equation. You can also use a calculator to evaluate both sides of the equation and see if they are equal. Alternatively, you can graph the equation and the solution to see if they intersect at the correct point.