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Mrencko
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Homework Statement
X=e^y i just need to do that i think this is maybe log but i don't know[/B]
Show us what happens if you take the natural logarithm of both sides.Mrencko said:Homework Statement
X=e^y i just need to do that i think this is maybe log but i don't know[/B]Homework Equations
The Attempt at a Solution
Mrencko said:Log(x) =ylog(e)?
No, we won't do your work for you, due to forum rules - https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/, in Homework Guidelines.Mrencko said:Its one, can you apoint me to the solution i am lost
Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.
Sorry its y=-lnxMrencko said:I found the solution y=-log(x)
Mrencko said:I found the solution y=-log(x)
Neither one of these is correct. Please show what you did to get your last equation.Mrencko said:Sorry its y=-lnx
Mrencko said:X=e^-y then lnx=-ylne then (lnx=-y)-1... Then (y=-lnx) or y=ln(1/x)
Mrencko said:Its one, can you apoint me to the solution i am lost
"Solve for y" means to find the value of y that makes the equation true. In other words, we are looking for the value of y that satisfies the equation X=e^y.
To solve for y in this equation, you can use the natural logarithm (ln) function. First, take the ln of both sides of the equation to get ln(X)=ln(e^y). Then, use the property of logarithms to rewrite the right side as y*ln(e). Finally, divide both sides by ln(e) to isolate y and get the answer y=ln(X).
Yes, there are infinitely many solutions for y in this equation. This is because the natural logarithm function is a one-to-one function, meaning that for every input there is only one output. However, the input X can have many different values, resulting in different outputs for y.
No, you cannot solve for y if X is a negative number. This is because the natural logarithm function is only defined for positive numbers. If X is a negative number, the equation X=e^y has no real solutions for y.
This equation can be used in many real-life applications, such as calculating the growth rate of a population or the decay rate of a radioactive substance. It can also be used in finance to calculate compound interest or in physics to model exponential growth or decay. Essentially, this equation can be used whenever there is a relationship between a quantity and its rate of change over time.