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Find the roots of this equation: y=(8-x)lnx

To find the roots, let y=0 and find the places where the graph crosses the x-axis. When y=0, (8-x)lnx =0. This can be solved by splitting the terms and putting each =0. This is because if the answer is 0, on...
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Answered by Ella S. • Maths tutor
5601 Views

Find the exact solution to ln(2y+5) = 2 + ln(4-y)

Solution is y = 4e 2 - 5 /2+e 2 By applying log laws we can reach the following: ln(2y+5/4-y) = 2 Given that ln x = log e x :e 2 = 2y+5/4-y Solve linearly : 2y+5 = e 2 (4-y) 2y+5 = 4e 2 - ye 2 2y + ye 2 = 4e...
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Answered by Michael H. • Maths tutor
9557 Views

Find the equation of a line which goes through the points (1,0) and (2,5) in the form of y=mx+c

y = 5x - 5
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Answered by Suleiman J. • Maths tutor
3427 Views

Find the integral of ln x

x*ln|x| - x
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Answered by Suleiman J. • Maths tutor
3670 Views

What is (5+3i)*(3+5i)

The idea here is to explain to the student that i^2=-1, and to expand and simplify the brackets in question just like they would with simple algebra. Therefore: (5+3i)*(3+5i)=15+25i+9i+15i^2=15+34i-15=34i St...
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Answered by Sebastian K. • Maths tutor
3714 Views