precal
posted by ladybug .
solve the equation algebraically.
7e^x=11e^x

precal 
Reiny
7 e^x = 11  1/e^x
let e^x = t
7t = 11  1/t
times t
7t^2 = 11t  1
7t^2  11t + 1 = 0
t = (11 ± √93)/14
then e^x = (11 + √93)/14 = 1.474546...
x = ln 1.4745.. = .38835..
or
e^x = (11  √93)/14 = .096882..
x = ln .096882.. = 2.33426...
Respond to this Question
Similar Questions

Pre Cal
Let the line X2Y=15 and the circle with equation X^2+Y^2=50 intersect at the points A and B. Algebraically find the coordinates of A and B using the information given. 
precal
How do I find the domain of the following function algebraically? 
precal
solve this system of equation 3xy+5z2w=44 x+6y+4zw=1 5xy+z+3w=15 4yz8w=58 
Trig/PreCalc
Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4xlog4(x1)=1/2 To start off … 
pre cal 2
solve the equation 4cos^2x1=0 
Pre cal
I need help finding the zeros of a function algebraically. And here is one of them f(x)= x^34x^29x+36 
precalculus 11
I am asked to solve the absolute value equation of 1/2x +1 =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line … 
precalculus 11
I am asked to solve the absolute value equation of 1/2x +1 =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line … 
PreCal
Solve the equation for the indicated variable: (ax+b)/(cx+d)=6 , Solve for X 
pre cal
Use factoring to solve the polynomial equation: HINT: Try multiplying each side of the equation by a number to eliminate the denominators. x2/162 + X/18 + 1/9 =0