# Thread: Transposition involving exponential equation

1. ## Transposition involving exponential equation

Hi i having some difficulty in transpoing the below formula
the question asks me to Change the subject of the formula to E

..........Pie E
P = e √1- EČ

Many Thanks

Richard

2. ## Transposing exponential equation

Heres the formula again as it wasnt very clear before

Pie E
P = e √1- EČ

The question asks me to make the subject E

Many Thanks

Richard

3. Originally Posted by ric115
[LEFT]
Pie E
P = e √1- EČ
I will guess that you mean the following:

. . . . . $P\, =\, \frac{\pi e E}{e\sqrt{1\, -\, E^2}}$

If so, then a good first step would be to cancel off the common factor of "e" (from the "pi times e times E" in the numerator and the "e" in front of the radical in the denominator). Then multiply through by the denominator, and square both sides to get rid of the radical. Multiply things out to get:

. . . . . $P^2\, -\, P^2 E^2\, =\, {\pi}^2 E^2$

Add the P^2 E^2 to the right-hand side, factor out the E^2, and divide through by $P^2\, +\, {\pi}^2$. Then take the square root of each side, remembering the "plus, minus" on the left-hand side.

4. Hi thank you for the fast response unfortunelty i have not made it clear on my formula sorry about that. it should have said

Pi E
P = e √1- EČ

minus the e
Once again i do apolagise

Richard

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