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Express as a single logarithm 2 loga 6 loga 3 [2 marks]

loga12 explantion:from simples rules of logs
Answered by • Maths tutor
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How do you know if a function is odd or even?

For this I would use the whiteboard to draw an even function (i.e cos(x)) and show that if f(x) is even then f(x) = f(-x). I would also show that the function would be symmetrical about the y axis. For an od...
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What is the inverse of a function and how do you find it?

A function, f(x), is something that takes various input values of x, and for each one, generates an output value, e.g. if f(x) = x 2 then when x=3, f(x) = f(3) = (3) 2 = 9, which is the output of the functio...
JM
Answered by Jack M. • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Work out the lengths of each side; do so by adding the ratio components together (3+4+5).The components add to 12; we can now find the value of a single unit of the ratio, by dividing 72 by 12.72/12 is 6; ea...
LF
Answered by Lorissa F. • Maths tutor
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Find the coordinates of the stationary point on the curve y=2x^2+3x+4=0

The stationary point on the curve is the point on the curve where the gradient is 0. In other words the tangent to the curve at that point is horizontal. The gradient of the curve can be expressed as dy/dx w...
QZ
Answered by Qais Z. • Maths tutor
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