SOLUTION: What is the value of x? 0.5 ln (110-x)+0.5 ln (100-x) = 4.26 0.8 ln (200-x) + 0.2 ln (100-x) = 4.56

Question 282424: What is the value of x?
0.5 ln (110-x)+0.5 ln (100-x) = 4.26
0.8 ln (200-x) + 0.2 ln (100-x) = 4.56
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
1.) 0.5 ln (110-x)+0.5 ln (100-x) = 4.26
2.) 0.8 ln (200-x) + 0.2 ln (100-x) = 4.56
1.) .5 ln(110-x) + .5 ln(100-x) = 4.26

.5*(ln(110-x)+ ln(100-x)) = 4.26
ln(110-x) + ln(100-x) = 4.26/.5
Using the law ln a + ln b = ln (a+b):
ln((110-x)*(100-x)) = 8.52
By definition of ln we have:
(110-x)*(100-x) = e^8.52
Solve the above for x using the quadratic formula.
2.) 0.8 ln (200-x) + 0.2 ln (100-x) = 4.56
Are you sure the equation above is written correctly?

RELATED QUESTIONS
Solve: log base 4 (X) + Log base 8 (x) = 1 ln X/ln 4 + ln X/ln 8=1 2 ln X/2 ln 4 + ln... (answered by Fombitz)

ln(X+5)-ln 3=... (answered by oscargut)

ln (x+8)+ln... (answered by Alan3354)

ln(15)+ln(x)=0 (answered by oscargut)

ln(x)+ln(x+4)=ln(5) (answered by scott8148)

ln(x)-ln(4)=5 (answered by edjones,robertb)

solve for x ln x + ln(x+4)=0 (answered by stanbon)

2. The first three terms of a geometric sequence are ln x^16, ln x^8, ln x^4, for x>0. (answered by Edwin McCravy)

Solve Each Equation For X. Round To The Nearest Hundredth. 1. 4log x = 5 2. log2 x +... (answered by ewatrrr)