Logarithms (math)
posted by Jessica .
how do you solve for x
3.4e^(22n)9=4 I don't know what is the step by step process. Help please!

3.4e^(22n)9=4
3.4e^(22n) = 5
e^(22n) = 5/3.4 = 50/34 = 25/17
e^(22n) = 25/17
ln both sides
ln( e^(22n) ) = ln (25/17)
(22n) lne = ln25  ln17 , but lne = 1
22n = ln25ln17
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 
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