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Given log3(3b + 1) - log3(a-2) = -1 for a > 2. Express b in terms of a.

We can start by recognising one of our properties of log. That is loga(x) - loga(y) = loga(x/y). Performing this on our question we get: log3((3b+1)/(a-2)) = -1...

JW
Answered by Jason W. • Maths tutor
15376 Views

Solve 2x^2 - 3x - 1 = 0, using the quadratic formula. Give your answer to two decimal places.

To start, let us recall the form of a quadratic equation. y = ax2 + bx + c. When making x the subject of the formula and setting y = 0, we get the quadratic formula, as you may have seen before...

JW
Answered by Jason W. • Maths tutor
12135 Views

How can you expand brackets? e.g: (x-4)(x+7)

The answer is of the form ax2+bx+c The a term is found by the product of the coefficients of the x in the brackets. e.g (2x+7)(-4x+6) would give -8

ST
Answered by Sam T. • Maths tutor
5968 Views

The turning point on a quadratic function

often with functions you may be required to find the maximum or minimum point in a curve. This can be especially present in a quadratic function. These are functions that have an x raised to the power of ...

AG
Answered by Ankur G. • Maths tutor
4899 Views

Solve the equation: (2x+3)/(x-4)-(2x-8)/(2x+1)=1

By solving this equation we are trying to find the value of x. First we must combine the two fractions into one by finding the common denominator. The least common denominator in this case is (x-...

EW
Answered by Erin W. • Maths tutor
3629 Views

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