Posted by Kyle on Friday, January 11, 2013 at 1:28am.
I will assume you want to "solve" for x
let e^(-10x) = y , then e^(-20x) = (e^(-10x)^2 = y^2
then you have
5y - 3y^2 = 2
3y^2 - 5y + 2 = 0
(y-1)(3y-2) = 0
y = 1 or y = 2/3
so e^(-10x) = 1 or e^(-10x) = 2/3
if e^(-10x) = 1
ln e^(-10x) = ln 1 = 0
-10x lne = 0
-10x = 0
x = 0
if e^(-10x) = 2/3
...
-10x = ln2 - ln3
x = -(l2 - ln3)/10 = appr .04055
Related Questions
math,factoring,help - Can someone please show me step by step how to do these. I...
Pre calculus - Okay, I'm really fuzzy about my log and exponential chapter...
Calculus - Find the derivative of: y= 5^x + 15/x^6 I'm assuming I need to ...
algebra - Solve log 1/100 = log(10x + 2). Do you mean (log 1)/100 or log (1/100...
math(Please help) - 1) use the properties of logarithms to simplify the ...
Calculus - Find the derivative of 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0
Calculus. Please help! - Find the minimum value of the function f(x,y= 25x^2+3y^...
Calculus - Find dy/dx of the function 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0...
Math - I understand generally how to solve, by taking natural logs and the the ...
math,correction - Directions:Multiply Problem: ((x)/(3)+(3)/(4)) ((3x)/(4)-(3)/(...
For Further Reading
