Solve the following simultaneous logarithmic equations y^logx=100 log(sqrt(xy/10))=1 given further that x , y ∈ℝ , with x > 0 , y > 0. Can someone help me with this question, I keep getting an unsolvable quadratic.
Solve the following simultaneous logarithmic equations y^logx=100 log(sqrt(xy/10))=1 given further that x , y ∈ℝ , with x > 0 , y > 0. Can someone help me with this question, I keep getting an unsolvable quadratic.
upload what you tried? Im presuming log is tne natural log, but to get a handle on (guess) the solution, you could assume it was base 10.
The first line says the rate of change of the gradient is constant. So write that down clearly and try and solve for that.
ive got a few simultaneous equations: m+c=-1/2 2=m/2+c+d 9m-3c-d=0 Do i solve for m,c, and d, then equate the final function to y=2x to work out where they intersect and then use definite integration to find out area under the curve and subtract it from the area under the line?
ive got a few simultaneous equations: m+c=-1/2 2=m/2+c+d 9m-3c-d=0 Do i solve for m,c, and d, then equate the final function to y=2x to work out where they intersect and then use definite integration to find out area under the curve and subtract it from the area under the line?
What curve did you get from the first part (what are the parameters m,c,d)?
Assuming its a quadratic etc, then yes you need to find the points of intersection (roots of curve-line) then use integration to find the area between the curve and the line. So integrate curve-line between the two roots.
What curve did you get from the first part (what are the parameters m,c,d)?
Assuming its a quadratic etc, then yes you need to find the points of intersection (roots of curve-line) then use integration to find the area between the curve and the line. So integrate curve-line between the two roots.
Sorry i had to redo my workings because i made some mistakes but hopefully it is right this time. I got: m=-1 c=0.5 d=1.5 But yes it is a quadratic.
Solve the following simultaneous logarithmic equations y^logx=100 log(sqrt(xy/10))=1 given further that x , y ∈ℝ , with x > 0 , y > 0. Can someone help me with this question, I keep getting an unsolvable quadratic.
Thats one way, then expand each factor^7 up to quadratic then multply out. Or write it as (1 + (3x+2x^2))^7 and write out the first three terms of the binomial in (3x+2x^2) and combine. Not a great difference in either way.