# Logarithms (math)

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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!

• Logarithms (math) -

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

• Logarithms (math) -

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