how do you solve for x
3.4e^(2-2n)-9=-4 I don't know what is the step by step process. Help please!
3.4e^(2-2n)-9=-4
3.4e^(2-2n) = 5
e^(2-2n) = 5/3.4 = 50/34 = 25/17
e^(2-2n) = 25/17
ln both sides
ln( e^(2-2n) ) = ln (25/17)
(2-2n) lne = ln25 - ln17 , but lne = 1
2-2n = ln25-ln17
notice I have yet to touch a calculator ....
-2n = ln25 - ln17 - 2
n= (-1/2)ln25 + (1/2)ln17 + 1 , now to the calculator....
= appr .8072
To solve for x in the equation 3.4e^(2-2n) - 9 = -4, we need to isolate the variable x. Here's a step-by-step process:
Step 1: Add 9 to both sides of the equation to move the constant term to the right side:
3.4e^(2-2n) = -4 + 9
3.4e^(2-2n) = 5
Step 2: Divide both sides of the equation by 3.4 to isolate e^(2-2n):
e^(2-2n) = 5/3.4
e^(2-2n) ≈ 1.470588
Step 3: Take the natural logarithm (ln) of both sides of the equation to cancel out the exponential function:
ln(e^(2-2n)) = ln(1.470588)
2-2n ≈ ln(1.470588)
Step 4: Solve for n by isolating the variable:
-2n ≈ ln(1.470588) - 2
-2n ≈ -0.127833
n ≈ (-0.127833)/(-2)
n ≈ 0.0639165
Therefore, the solution for x is approximately n = 0.0639165.
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