SOLUTION: How to use exponentials to solve the following equation. (ii) 7+3e(to the power x)=3/e(to the power x+6) +7

Question 502985: How to use exponentials to solve the following equation. (ii) 7+3e(to the power x)=3/e(to the power x+6) +7
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How to use exponentials to solve the following equation. (ii)
7+3e(to the power x)=3/e(to the power x+6) +7
:
7 + 3 = + 7
Subtract 7 from both sides
3 =
Change the sign of the exponent to give us the reciprocal
=
when the numerators are equal, the denominators are equal, therefore:
=
therefore
-x = x + 6
-6 = x + x
-6 = 2x
x = -3
:
:
Check this in the original equation
7 + 3 = + 7
Change the sign of the exponent to give us the reciprocal
7 + = + 7
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