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Find the values of x such that: (log3(81)+log2(32))/(log2(x)) = log2(x) (5 marks)

log₃(81) = 4 , log₂(32) = 59/log₂(x) = log₂(x)9 = (log₂(x))²3 = log₂(x) , -3 = log₂(x)x = 8 , x = 1/81 mark per line...

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We are given a right angled triangle with one side of unknown length. The shortest side is 3cm long, and the longest side is 5cm long. Calculate the remaining side.

This is a classic question testing your understanding of Pythagoras' Theorem. This is an equation which shows us the relationship between the 3 sides of a right angled triangle : a² + b²

Answered by Sean M. • Maths tutor

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Solve the simultaneous equations 5x + y = 21 and x- 3y = 9

There are different ways to approach solving a simultaneous equation question. For this one I recommend using substitution for this one where you insert one equation into the other.
First take the eq...

Answered by George B. • Maths tutor

2807 Views

Solve x^2+10x-3=0 by completing the square, simplify your answer.

x²+10x-3=0(x+5)²-(5)²-3=0 (half the 'x' coefficient and put it in the bracket with x to be squared, then take away that new number squared followed by the original constan...

Answered by Tutor575114 D. • Maths tutor

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