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Solve the equation: log5 (4x+3)−log5 (x−1)=2.

As both terms on the left hand side have base 5 we know we can combine them. When dealing with logs, a minus means we can divide them, and a plus means we can multiply them. This will leave us with log5(4x+3...
HG
Answered by Hugh G. • Maths tutor
9761 Views

Show that 1+cot^2(x)=cosec^2(x)

Need to remember that:sin 2 (x)+cos 2 (x)=1 (eq.1)Divide the whole eq.1 by sin 2 (x)to get:sin 2 (x)/sin 2 x+cos 2 (x)/sin 2 (x)=1 /sin 2 x Which is the same as:1+cot 2 x=cosec 2 x
TD
Answered by Tutor114151 D. • Maths tutor
62326 Views

The mean of 4 numbers is 8 when a 5th number is added the mean becomes 10, what is the 5th number?

Ok, so firstly let's think about what the mean means? Add all the numbers together and then divide by the total number of values we have.So, that means with the 4 numbers we currently have the total divided ...
CO
Answered by Carmen O. • Maths tutor
8520 Views

Find the stationary point(s) of the curve: y = 3x^4 - 8x^3 - 3.

Firstly. Recognise which method you should use to approach this question. In this case, you can find the stationary point of a curve where its gradient is 0 i.e. at a point where the gradient changes from po...
LL
Answered by Laurene L. • Maths tutor
5580 Views

A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square. The area of the squ...
AS
Answered by Avnish S. • Maths tutor
18186 Views