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Solve log_2(3x + 7) = 3 + log_2(x – 1), x > 1.

Begin by collecting log_2 terms.log_2(3x + 7) - log_2(x – 1) + = 3 Using the rule of log terms we getlog_2((3x+7)/(x-1)) = 3 (3x+7)/(x-1) = 2³3x+7 = 8(x-1)3x+7-8x+8 = 0 -5x+15 = 0 x= 3

Answered by Catriona F. • Maths tutor

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There are 11 pens in a box, 8 are black, 3 are red. Two pens are taken out at random without replacement. What is the probability the pens are the same colour?

For the pens to be the same colour either two black pens need to be selected OR two red pens. So start with the probability of two black pens BB: On the first selection the probability of taking a black p...

Answered by Georgia I. • Maths tutor

5366 Views

b)You are given g(x) = ax + b; You are also given that g(0) = 4 and g(1) = - 6; Find the value of a and the value of b

(Question on topic of algebra taken from June 2016 OCR Past Paper)b) This question may look different to the previous one but it's still only algebra, so it;s pretty much the same. Don't let the unknows s...

Answered by Stefania R. • Maths tutor

3797 Views

a)Rearrange the folowing to make m the subject; 4(m-2) = t(5m+3)

(Question on topic of algebra taken from June 2016 OCR Past Paper)a) This question LOOKS like algerba and IS 100% algebra. We have 2 unknows that we treat just like we treat any number and we have to make...

Answered by Stefania R. • Maths tutor

3570 Views

If e^(4t) = 6, find an expression for t.

This question involves rearranging equations. In this case we need to get t on the LHS (left hand side) of this equation in order to find an expression for t. An expressi...

Answered by Catriona F. • Maths tutor

1568 Views