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Simplify ln(e^2) - 4ln(1/e)

Using log rules, we can simplify the equation as follows: Firstly log(x a ) = a log(x) implies that ln(e 2 ) = 2 ln(e). Next log a (a) = 1 implies 2 ln(e) = 2 1 = 2 [Since the natural logarithm ln is equival...
MJ
Answered by Mark J. • Maths tutor
5631 Views

Factorise (5x^2 + 7x + 2)

This expression is in the form of ax^2 + bx + c, so you need to find two numbers which multiply to get ac and add to make b. Step 1: Here a is not = 1, so you need to take out the highest common factor. In t...
DJ
Answered by Daisy J. • Maths tutor
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How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?

Say the parallelogram is called ABCD, you know the coordinates of A, B and C and want to find out DFirst of all, you'll want to calculate a vector from one of the sides of the parallelogram, say AB . Because...
MG
Answered by Melzie G. • Maths tutor
5681 Views

y = 4x^2 + 20x + 11 is a curve. Find the minimum point of the curve.

Differentiate equation = 8x+ 20Set differential to 0 and calculate xx = 2.5
MD
Answered by Michael D. • Maths tutor
2937 Views

Write 2x^2 + 6x + 6 in the form a(x^2 + b) + c by completing the square.

2x 2 + 6x + 62(x 2 + 3x + 3) => Factor out 4 from each term so the x 2 term of the quadratic has 1 for a coefficient.2[(x + 3/2) 2 - d + 3] => Here, we've divided 3x by 2; this coefficient becomes b. W...
II
Answered by Iffshah I. • Maths tutor
3715 Views